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Longer titles found: Differential calculus over commutative algebras (view), Localization (commutative algebra) (view), List of commutative algebra topics (view), Combinatorial commutative algebra (view), Journal of Commutative Algebra (view), Homological conjectures in commutative algebra (view), Introduction to Commutative Algebra (view), Supercommutative algebra (view), Glossary of commutative algebra (view), Noncommutative algebraic geometry (view)

searching for Commutative algebra 138 found (696 total)

alternate case: commutative algebra

Éléments de mathématique (3,074 words) [view diff] case mismatch in snippet view article find links to article

(1989). Commutative Algebra: Chapters 1-7. Elements of Mathematics. Springer. ISBN 9783540642398. English paperback edition. Commutative Algebra: Chapters

CoCoA (361 words) [view diff] case mismatch in snippet view article find links to article

CoCoA (Computations in Commutative Algebra) is a free computer algebra system developed by the University of Genova, Italy, used to compute with numbers

Reduced ring (817 words) [view diff] exact match in snippet view article find links to article

non-zero elements with square zero, that is, x2 = 0 implies x = 0. A commutative algebra over a commutative ring is called a reduced algebra if its underlying

List of lemmas (522 words) [view diff] no match in snippet view article find links to article

This following is a list of lemmas (or, "lemmata", i.e. minor theorems, or sometimes intermediate technical results factored out of proofs). See also list

Graduate Texts in Mathematics (4,909 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-387-90125-1) Commutative Algebra I, Oscar Zariski, Pierre Samuel (1975, ISBN 978-0-387-90089-6) Commutative Algebra II, Oscar Zariski, Pierre

Poisson ring (392 words) [view diff] exact match in snippet view article find links to article

important in studying the classical limit of quantum mechanics—the non-commutative algebra of operators on a Hilbert space has the Poisson algebra of functions

Generalized function (2,264 words) [view diff] no match in snippet view article find links to article

In mathematics, generalized functions are objects extending the notion of functions. There is more than one recognized theory, for example the theory of

Srinivasacharya Raghavan (450 words) [view diff] case mismatch in snippet view article find links to article

Society for many years. He was a coauthor of Homological Methods in Commutative Algebra. He retired as Senior Professor from the Tata Institute of Fundamental

Functional-theoretic algebra (996 words) [view diff] exact match in snippet view article find links to article

products in terms of two linear functionals. In general, it is a non-commutative algebra. It becomes commutative when the two functionals are the same. Let

Dunsink Observatory (779 words) [view diff] exact match in snippet view article find links to article

who, amongst other things, discovered quaternions, the first non-commutative algebra form, while walking from the observatory to the city with his wife

Michel André (mathematician) (234 words) [view diff] exact match in snippet view article

1936 – 9 July 2009) was a Swiss mathematician, specializing in non-commutative algebra and its applications to topology. He is known for André–Quillen cohomology

Yoshiro Mori (mathematician) (53 words) [view diff] exact match in snippet view article

Yoshiro Mori is a Japanese mathematician working on commutative algebra who introduced the Mori–Nagata theorem and whose work led to Mori domains.[when

Goldman domain (635 words) [view diff] case mismatch in snippet view article find links to article

Kaplansky, Irving. Commutative Algebra. The University of Chicago Press, 1974, pp. 12, 13. Kaplansky, Irving. Commutative Algebra. The University of Chicago

Reynolds operator (994 words) [view diff] exact match in snippet view article find links to article

taken over a compact group or reductive algebraic group acting on a commutative algebra, such as a ring of polynomials. Reynolds operators were introduced

Fuzzy sphere (580 words) [view diff] exact match in snippet view article find links to article

replaces an infinite-dimensional commutative algebra by a j 2 {\displaystyle j^{2}} -dimensional non-commutative algebra. The simplest way to see this sphere

Reynolds operator (994 words) [view diff] exact match in snippet view article find links to article

taken over a compact group or reductive algebraic group acting on a commutative algebra, such as a ring of polynomials. Reynolds operators were introduced

Bicomplex number (1,767 words) [view diff] exact match in snippet view article find links to article

quadratic form in the first component. The bicomplex numbers form a commutative algebra over C of dimension two that is isomorphic to the direct sum of algebras

Exalcomm (1,998 words) [view diff] exact match in snippet view article find links to article

In algebra, Exalcomm is a functor classifying the extensions of a commutative algebra by a module. More precisely, the elements of Exalcommk(R,M) are isomorphism

Finitely generated module (2,837 words) [view diff] exact match in snippet view article find links to article

ring R is Noetherian. Both facts imply that a finitely generated commutative algebra over a Noetherian ring is again a Noetherian ring. More generally

Phillip Griffith (149 words) [view diff] exact match in snippet view article find links to article

emeritus at University of Illinois at Urbana-Champaign who works on commutative algebra and ring theory. He received his PhD from the University of Houston

Martin Kreuzer (446 words) [view diff] exact match in snippet view article find links to article

research interests are computer algebra, cryptography, computational commutative algebra, algebraic geometry, and their industrial applications. Kreuzer's

Dual Steenrod algebra (818 words) [view diff] exact match in snippet view article find links to article

through an algebraic operation (dualization), there is an associated commutative algebra from the noncommutative Steenrod algebras called the dual Steenrod

Normal scheme (1,087 words) [view diff] case mismatch in snippet view article find links to article

of singularities Eisenbud, D. Commutative Algebra (1995). Springer, Berlin. Theorem 11.5 Eisenbud, D. Commutative Algebra (1995). Springer, Berlin. Corollary

Ideal quotient (1,200 words) [view diff] case mismatch in snippet view article find links to article

and Commutative Algebra. Springer. ISBN 0-387-94680-2., p.195 Greuel, Gert-Martin; Pfister, Gerhard (2008). A Singular Introduction to Commutative Algebra

Noetherian ring (2,773 words) [view diff] exact match in snippet view article find links to article

homomorphism of a Noetherian ring is Noetherian. Every finitely-generated commutative algebra over a commutative Noetherian ring is Noetherian. (This follows from

Martha K. Smith (613 words) [view diff] exact match in snippet view article find links to article

the University of Texas at Austin. She made contributions to non-commutative algebra and as well as to mathematics education. Smith received a B.A. in

Nilpotent (1,183 words) [view diff] case mismatch in snippet view article find links to article

127. Matsumura, Hideyuki (1970). "Chapter 1: Elementary Results". Commutative Algebra. W. A. Benjamin. p. 6. ISBN 978-0-805-37025-6. Atiyah, M. F.; MacDonald

Field (mathematics) (10,288 words) [view diff] exact match in snippet view article

domain: (f ⋅ g)(x) = f(x) ⋅ g(x). This makes these functions a F-commutative algebra. For having a field of functions, one must consider algebras of functions

Richard P. Stanley (433 words) [view diff] case mismatch in snippet view article find links to article

Combinatorics (1986–1999). He is also the author of Combinatorics and Commutative Algebra (1983) and well over 200 research articles in mathematics. He has

Miles Reid (331 words) [view diff] case mismatch in snippet view article find links to article

known books: Undergraduate Algebraic Geometry and Undergraduate Commutative Algebra. Reid was elected a Fellow of the Royal Society in 2002. In the same

Hilbert–Kunz function (411 words) [view diff] case mismatch in snippet view article find links to article

This article is also found on pages 485-525 of the Springer volume "Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of

Hyperconnected space (1,802 words) [view diff] case mismatch in snippet view article find links to article

Nicolas (1989). Commutative Algebra: Chapters 1-7. Springer. p. 95. ISBN 978-3-540-64239-8. Bourbaki, Nicolas (1989). Commutative Algebra: Chapters 1-7

Kochen–Specker theorem (3,026 words) [view diff] exact match in snippet view article find links to article

commuting subalgebras of the algebra of these observables in one commutative algebra, assumed to represent the classical structure of the hidden-variables

Global dimension (721 words) [view diff] exact match in snippet view article find links to article

theorem opened the door to application of homological methods to commutative algebra. Auslander, Maurice (1955). "On the dimension of modules and algebras

Derivation (differential algebra) (1,064 words) [view diff] exact match in snippet view article

mathematics, Springer-Verlag, ISBN 3-540-64243-9. Eisenbud, David (1999), Commutative algebra with a view toward algebraic geometry (3rd. ed.), Springer-Verlag

Associated graded ring (982 words) [view diff] case mismatch in snippet view article find links to article

Ch. VIII, a paragraph after Theorem 1. Eisenbud, David (1995). Commutative Algebra. Graduate Texts in Mathematics. Vol. 150. New York: Springer-Verlag

Symbolic-numeric computation (188 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-3-540-65466-7. Robbiano, Lorenzo; Abbott, John (2009). Approximate Commutative Algebra. Springer. ISBN 978-3-211-99313-2. Langer, Ulrich; Paule, Peter,

Ian G. Macdonald (644 words) [view diff] case mismatch in snippet view article find links to article

ISBN 0-8218-0770-6 MR1488699 Atiyah, M. F.; Macdonald, I. G. Introduction to Commutative Algebra. Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills,

Rational homotopy theory (3,945 words) [view diff] exact match in snippet view article find links to article

let X be any space whose rational cohomology ring is a free graded-commutative algebra (a tensor product of a polynomial ring on generators of even degree

Graduate Studies in Mathematics (4,466 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-1-4704-7419-5) 233 Commutative Algebra, Andrea Ferretti (2023, ISBN 978-1-4704-7434-8) 234 Homological Methods in Commutative Algebra, Andrea Ferretti (2023

Prime ideal (2,642 words) [view diff] case mismatch in snippet view article find links to article

Springer. ISBN 0-387-95385-X. Reid, Miles (1996). Undergraduate Commutative Algebra. Cambridge University Press. ISBN 0-521-45889-7. Lam First Course

Nakayama (140 words) [view diff] exact match in snippet view article find links to article

Station (Hyogo) Nakayamadaira-Onsen Station Nakayama lemma, a lemma in commutative algebra This disambiguation page lists articles associated with the title

Cyclic homology (1,544 words) [view diff] exact match in snippet view article find links to article

referred to as the periodicity sequence. Cyclic cohomology of the commutative algebra A of regular functions on an affine algebraic variety over a field

NNL (127 words) [view diff] exact match in snippet view article find links to article

League had disbanded Noether normalization lemma — a theorem in commutative algebra Narnaul railway station — a railway station in Haryana, India This

Todorov surface (93 words) [view diff] exact match in snippet view article find links to article

(1988), "On the moduli of Todorov surfaces", Algebraic geometry and commutative algebra, vol. I, Tokyo: Kinokuniya, pp. 313–355, MR 0977767 Todorov, Andrei

M-sequence (60 words) [view diff] exact match in snippet view article find links to article

M-sequence may refer to: Regular sequence, which is an important topic in commutative algebra. A maximum length sequence, which is a type of pseudorandom binary

Incomparable (104 words) [view diff] exact match in snippet view article find links to article

2011 album Comparable (disambiguation) Incomparability property (commutative algebra) Indistinguishability (disambiguation) This disambiguation page lists

Split exact sequence (409 words) [view diff] case mismatch in snippet view article find links to article

Springer, ISBN 9783319194226 Sharp, R. Y., Rodney (2001), Steps in Commutative Algebra, 2nd ed., London Mathematical Society Student Texts, Cambridge University

Projectivization (306 words) [view diff] exact match in snippet view article find links to article

procedure that associates a projective variety Proj S with a graded commutative algebra S (under some technical restrictions on S). If S is the algebra of

Anticommutative property (582 words) [view diff] exact match in snippet view article find links to article

Wiktionary, the free dictionary. Gainov, A.T. (2001) [1994], "Anti-commutative algebra", Encyclopedia of Mathematics, EMS Press. Which references the Original

Clifford's theorem on special divisors (734 words) [view diff] exact match in snippet view article find links to article

Eisenbud, David (2005). The Geometry of Syzygies. A second course in commutative algebra and algebraic geometry. Graduate Texts in Mathematics. Vol. 229.

Going Up (124 words) [view diff] exact match in snippet view article find links to article

Going Up may refer to: Going up and going down, terms in commutative algebra which refer to certain properties of chains of prime ideals in integral extensions

Going Down (270 words) [view diff] exact match in snippet view article find links to article

XXXTentacion from ?, 2018 Going up and going down, a concept in commutative algebra Oral sex Get down, a dance move in African and African diaspora culture

Height (disambiguation) (206 words) [view diff] exact match in snippet view article

properties of an element Height (ring theory), a measurement in commutative algebra Height (triangle) or altitude Height function, a function that quantifies

Frobenius splitting (164 words) [view diff] exact match in snippet view article find links to article

JSTOR 1971368, MR 0799251 Conference on Frobenius splitting in algebraic geometry, commutative algebra, and representation theory at Michigan, 2010. v t e

Comodule (814 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\mathcal {A}}^{*}} is a commutative ring, and the setting of commutative algebra provides more tools for studying its structure. If M is a (right)

Grade (557 words) [view diff] exact match in snippet view article find links to article

of plane angles Grade (ring theory), a cohomological invariant in commutative algebra Graded (mathematics), with several meanings Graded poset, a partially

Gelfand–Kirillov dimension (332 words) [view diff] exact match in snippet view article find links to article

is finite. The Gelfand–Kirillov dimension of a finitely generated commutative algebra A over a field is the Krull dimension of A (or equivalently the transcendence

Simplicial sphere (512 words) [view diff] exact match in snippet view article find links to article

1016/0095-8956(71)90042-6. Stanley, Richard (1996). Combinatorics and commutative algebra. Progress in Mathematics. Vol. 41 (Second ed.). Boston: Birkhäuser

Filtered algebra (812 words) [view diff] exact match in snippet view article find links to article

of differential operators. The associated graded algebra is the commutative algebra of smooth functions on the cotangent bundle T ∗ M {\displaystyle

Fuzzy mathematics (932 words) [view diff] case mismatch in snippet view article find links to article

vol. 182. Springer-Verlag. Mordeson, J.N., Malik, D.S (1998) Fuzzy Commutative Algebra. World Scientific. Chang, C.L. (1968) "Fuzzy topological spaces"

Gerstenhaber algebra (490 words) [view diff] exact match in snippet view article find links to article

defined on differential forms. A Gerstenhaber algebra is a graded-commutative algebra with a Lie bracket of degree −1 satisfying the Poisson identity.

Fyodor Zak (187 words) [view diff] exact match in snippet view article find links to article

a theorem of G. Scorza", Geometric and combinatorial aspects of commutative algebra (Messina, 1999), Lecture Notes in Pure and Appl. Math., vol. 217

Linear topology (198 words) [view diff] exact match in snippet view article find links to article

descriptions as a fallback Topological vector space – Vector space with a notion of nearness Bourbaki, N. (1972). Commutative algebra (Vol. 8). Hermann. v t e

Rigidity (K-theory) (535 words) [view diff] exact match in snippet view article

Henselian local rings and Henselian pairs", Algebraic K-theory, commutative algebra, and algebraic geometry (Santa Margherita Ligure, 1989), Contemp

Real-valued function (993 words) [view diff] exact match in snippet view article find links to article

{F}}(X,{\mathbb {R} })} may be turned into a vector space and a commutative algebra over the reals with the following operations: f + g : x ↦ f ( x )

Integral (disambiguation) (238 words) [view diff] exact match in snippet view article

according to which a nation is an organic unity Integrality, in commutative algebra, the notions of an element integral over a ring Integration (disambiguation)

Algebraic closure (992 words) [view diff] exact match in snippet view article find links to article

(1991) p.21 M. F. Atiyah and I. G. Macdonald (1969). Introduction to commutative algebra. Addison-Wesley publishing Company. pp. 11–12. Kaplansky (1972) pp

Finite morphism (860 words) [view diff] exact match in snippet view article find links to article

proper. This follows from the going up theorem of Cohen-Seidenberg in commutative algebra. Finite morphisms have finite fibers (that is, they are quasi-finite)

Gonality of an algebraic curve (387 words) [view diff] exact match in snippet view article find links to article

Eisenbud, David (2005). The Geometry of Syzygies. A second course in commutative algebra and algebraic geometry. Graduate Texts in Mathematics. Vol. 229.

Clay Research Award (71 words) [view diff] exact match in snippet view article find links to article

topology." 2021 Bhargav Bhatt "For his groundbreaking achievements in commutative algebra, arithmetic algebraic geometry, and topology in the p-adic setting

Vasudevan Srinivas (446 words) [view diff] exact match in snippet view article find links to article

subfields of interest include the areas of algebraic cycles, K-theory, commutative algebra and positive characteristic methods. He is well-known for the Bloch-Srinivas

Mutation (algebra) (588 words) [view diff] exact match in snippet view article

non-zero weight is again a Bernstein algebra. A Jordan algebra is a commutative algebra satisfying the Jordan identity ( x y ) ( x x ) = x ( y ( x x ) )

Torsionless module (658 words) [view diff] exact match in snippet view article find links to article

Proposition 8. Lam 1999, p 146. Chapter VII of Bourbaki, Nicolas (1998), Commutative algebra (2nd ed.), Springer Verlag, ISBN 3-540-64239-0 Lam, Tsit Yuen (1999)

Ferrero–Washington theorem (618 words) [view diff] exact match in snippet view article find links to article

μ-invariants of Z1-extensions", Number theory, algebraic geometry and commutative algebra, in honor of Yasuo Akizuki, Tokyo: Kinokuniya, pp. 1–11, MR 0357371

Spectrum (disambiguation) (965 words) [view diff] exact match in snippet view article

dual object Spectrum of a ring, the set of its prime ideals, in commutative algebra Spectrum (brand), a brand name used by Charter Communications for

Determinantal variety (723 words) [view diff] case mismatch in snippet view article find links to article

1016/0001-8708(78)90037-3. Miller, Ezra; Sturmfels, Bernd (2005). Combinatorial Commutative Algebra. Graduate Texts in Mathematics. Vol. 227. Springer. ISBN 978-0-387-23707-7

Volterra equation (68 words) [view diff] exact match in snippet view article find links to article

over an operator-valued function, such as a function into a non-commutative algebra. This disambiguation page lists mathematics articles associated with

Gorenstein scheme (679 words) [view diff] case mismatch in snippet view article find links to article

20 and 5.22.) (Kollár 2013, Example 3.6.) Eisenbud, David (1995), Commutative Algebra with a View toward Algebraic Geometry, Graduate Texts in Mathematics

Dehn–Sommerville equations (780 words) [view diff] case mismatch in snippet view article find links to article

Springer, 2003 ISBN 0-387-00424-6 Richard P. Stanley, Combinatorics and Commutative Algebra. Second edition. Progress in Mathematics, 41. Birkhäuser Boston,

Gorenstein scheme (679 words) [view diff] case mismatch in snippet view article find links to article

20 and 5.22.) (Kollár 2013, Example 3.6.) Eisenbud, David (1995), Commutative Algebra with a View toward Algebraic Geometry, Graduate Texts in Mathematics

Complex number (11,602 words) [view diff] exact match in snippet view article find links to article

structure that is simultaneously an algebraically closed field, a commutative algebra over the reals, and a Euclidean vector space of dimension two. A

Upper bound theorem (709 words) [view diff] case mismatch in snippet view article find links to article

shellability and h-vectors. Stanley, Richard (1996). Combinatorics and Commutative Algebra. Birkhäuser Boston. p. 164. ISBN 0-8176-3836-9. Stanley, Richard

Kontsevich invariant (938 words) [view diff] exact match in snippet view article find links to article

diagrams. In the special case where X is an interval I, A(X) will be a commutative algebra. Viewing A(S1) as the algebra with multiplication as connected sums

List of open-source software for mathematics (1,564 words) [view diff] case mismatch in snippet view article find links to article

it is no longer restricted to physicists. CoCoA (COmputations in COmmutative Algebra) is open-source software used for computing multivariate polynomials

Egbert Brieskorn (326 words) [view diff] exact match in snippet view article find links to article

Erhard Scholz. "Egbert Brieskorn, 1936–2013 :: commalg.org :: the commutative algebra community". commalg.org. 16 July 2013. Retrieved 2013-07-16. Egbert

Leroy P. Steele Prize (2,236 words) [view diff] exact match in snippet view article find links to article

Algorithms, which has made algebraic geometry and computational commutative algebra accessible not just to mathematicians but to students and researchers

Breakthrough Prize in Mathematics (1,137 words) [view diff] exact match in snippet view article find links to article

Murphy Xinwen Zhu 2021 Bhargav Bhatt – "For outstanding work in commutative algebra and arithmetic algebraic geometry, particularly on the development

Closed graph theorem (1,611 words) [view diff] exact match in snippet view article find links to article

hold Zariski's main theorem – Theorem of algebraic geometry and commutative algebra Rudin 1991, p. 51-52. Rudin 1991, p. 50. Narici & Beckenstein 2011

Snake lemma (1,434 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-387-95385-4. Atiyah, M.F.; Macdonald, I. G. (1969). Introduction to Commutative Algebra. Addison–Wesley. ISBN 0-201-00361-9. Hilton, P.; Stammbach, U. (1997)

ACC (1,360 words) [view diff] exact match in snippet view article find links to article

change caused by humans Ascending chain condition, a condition in commutative algebra ACC (complexity), a hierarchy of complexity classes used in circuit

Graded-symmetric algebra (215 words) [view diff] case mismatch in snippet view article find links to article

and zero elsewhere is the exterior algebra of V. David Eisenbud, Commutative Algebra. With a view toward algebraic geometry, Graduate Texts in Mathematics

Budapest Semesters in Mathematics (484 words) [view diff] case mismatch in snippet view article find links to article

Topics in Analysis Complex Functions Combinatorics 1 Combinatorics 2 Commutative Algebra Conjecture and Proof Functional Analysis Elementary Problem Solving

Hiroshi Umemura (mathematician) (356 words) [view diff] case mismatch in snippet view article

First Differential Equation of Painlevé", Algebraic Geometry and Commutative Algebra, Elsevier, pp. 771–789, doi:10.1016/b978-0-12-348032-3.50015-3, ISBN 9780123480323

Norman Steenrod (523 words) [view diff] no match in snippet view article find links to article

finer invariant. The Steenrod cohomology operations form a (non-commutative) algebra under composition, known as the Steenrod algebra. His book The Topology

Conic bundle (655 words) [view diff] case mismatch in snippet view article find links to article

(second ed.). Springer-Verlag. ISBN 0-387-94680-2. David Eisenbud (1999). Commutative Algebra with a View Toward Algebraic Geometry. Springer-Verlag. ISBN 0-387-94269-6

Weil restriction (1,139 words) [view diff] exact match in snippet view article find links to article

but does not generalize it, since the ring of Witt vectors on a commutative algebra A is not in general an A-algebra. Bosch, Siegfried; Lütkebohmert

Absolute value (algebra) (1,317 words) [view diff] case mismatch in snippet view article

of Valuations". Retrieved 2023-01-28. Bourbaki, Nicolas (1972). Commutative Algebra. Addison-Wesley. Cassels, J.W.S. (1986). Local Fields. London Mathematical

Nicolas Bourbaki (11,918 words) [view diff] exact match in snippet view article find links to article

unnumbered books treating modern areas of research (Lie groups, commutative algebra), each presupposing the first half as a shared foundation but without

Kruskal–Katona theorem (960 words) [view diff] exact match in snippet view article find links to article

applications, arXiv:1903.02998 Stanley, Richard (1996), Combinatorics and commutative algebra, Progress in Mathematics, vol. 41 (2nd ed.), Boston, MA: Birkhäuser

Nakano vanishing theorem (330 words) [view diff] exact match in snippet view article find links to article

weakly 1-complete manifolds". Number theory, algebraic geometry and commutative algebra — in honor of Yasuo Akizuki. Kinokuniya. pp. 169–179. Nakano, Shigeo

Homogeneous coordinate ring (1,245 words) [view diff] case mismatch in snippet view article find links to article

American Mathematical Society, Vol. 13, No. 3 (Jul., 2000), pp. 651–664. Oscar Zariski and Pierre Samuel, Commutative Algebra Vol. II (1960), pp. 168–172.

Simple function (817 words) [view diff] exact match in snippet view article find links to article

collection of all simple functions on a given measurable space forms a commutative algebra over C {\displaystyle \mathbb {C} } . If a measure μ is defined on

Andrei Zelevinsky (577 words) [view diff] exact match in snippet view article find links to article

Seminal Contribution to Research (2018) News on website for the commutative algebra community "Medal-winning graduates of the Moscow Mathematical School

Unique factorization domain (1,773 words) [view diff] exact match in snippet view article find links to article

Algebra. Prentice Hall. ISBN 978-0-13-241377-0. Bourbaki, N. (1972). Commutative algebra. Paris, Hermann; Reading, Mass., Addison-Wesley Pub. Co. ISBN 9780201006445

Zariski–Riemann space (813 words) [view diff] exact match in snippet view article find links to article

ISSN 0002-9904, MR 0011573 Zariski, Oscar; Samuel, Pierre (1975), Commutative algebra. Vol. II, Berlin, New York: Springer-Verlag, ISBN 978-0-387-90171-8

Eilenberg–Mazur swindle (1,099 words) [view diff] exact match in snippet view article find links to article

doi:10.1215/ijm/1255637479, MR 0143789 Eisenbud, David (1995), Commutative algebra. With a view toward algebraic geometry, Graduate Texts in Mathematics

Michael Atiyah (8,725 words) [view diff] exact match in snippet view article find links to article

Atiyah's collected papers include most of his work, except for his commutative algebra textbook; the first five volumes are divided thematically and the

Torsion (algebra) (1,657 words) [view diff] exact match in snippet view article

coefficient theorem Roman 2008, p. 115, §4 Ernst Kunz, "Introduction to Commutative algebra and algebraic geometry", Birkhauser 1985, ISBN 0-8176-3065-1 Irving

David A. Cox (412 words) [view diff] exact match in snippet view article find links to article

algorithms: an introduction to computational algebraic geometry and commutative algebra, 3rd. edition, Springer Verlag 2007 David A. Cox, John Little, and

Torsion (algebra) (1,657 words) [view diff] exact match in snippet view article

coefficient theorem Roman 2008, p. 115, §4 Ernst Kunz, "Introduction to Commutative algebra and algebraic geometry", Birkhauser 1985, ISBN 0-8176-3065-1 Irving

List of women in mathematics (22,400 words) [view diff] exact match in snippet view article find links to article

mathematics textbooks Melody Chan, American expert in combinatorial commutative algebra, graph theory, and tropical geometry Sun-Yung Alice Chang (born 1948)

Archimedean group (1,186 words) [view diff] case mismatch in snippet view article find links to article

property. Alajbegovic, J.; Mockor, J. (1992), Approximation Theorems in Commutative Algebra: Classical and Categorical Methods, NATO ASI Series. Series D, Behavioural

Iwasawa algebra (1,182 words) [view diff] case mismatch in snippet view article find links to article

classified up to so-called pseudo-null modules. Bourbaki, Nicolas (1972), Commutative Algebra, Paris: Hermann, Theorems 4, 5, §VII.4.4. Coates, John; Schneider

Alexander duality (1,429 words) [view diff] case mismatch in snippet view article find links to article

2001 [1994] Miller, Ezra; Sturmfels, Bernd (2005). Combinatorial Commutative Algebra. Graduate Texts in Mathematics. Vol. 227. New York, NY: Springer-Verlag

Almost all (2,559 words) [view diff] case mismatch in snippet view article find links to article

Schoutens, Hans (2 August 2010). The Use of Ultraproducts in Commutative Algebra. Lecture Notes in Mathematics. Vol. 1999. Springer. p. 8. doi:10

Free object (2,000 words) [view diff] exact match in snippet view article find links to article

free objects include: free algebra free associative algebra free commutative algebra free category free strict monoidal category free group free abelian

Tarbiat Modares University (1,228 words) [view diff] case mismatch in snippet view article find links to article

Department of Pure Mathematics include Algebra (Group Theory and Non-Commutative Algebra), Analysis (Harmonic and Functional Analysis), Dynamical systems

Artinian module (1,218 words) [view diff] case mismatch in snippet view article find links to article

"Chapter 6. Chain conditions; Chapter 8. Artin rings". Introduction to Commutative Algebra. Westview Press. ISBN 978-0-201-40751-8. Cohn, P.M. (1997). "Cyclic

Moss Sweedler (737 words) [view diff] exact match in snippet view article find links to article

finite characteristic. From 1965 to the mid 1980s Sweeder worked on commutative algebra and related disciplines. Since the mid 1980s Sweedler has worked

Mara Neusel (642 words) [view diff] case mismatch in snippet view article find links to article

Mathematical Society in Lubbock, Texas as well as a special session on "Commutative Algebra and Algebraic Geometry" at the 40th Anniversary Celebration of the

Dual abelian variety (1,609 words) [view diff] case mismatch in snippet view article find links to article

(2017). Abelian Varieties (PDF). p. 38. Eisenbud, David (1995). Commutative Algebra with a View Toward Algebraic Goemetry. Springer-Verlag. p. 521.

Even and odd functions (2,326 words) [view diff] exact match in snippet view article find links to article

property, as well as some of those above. The even functions form a commutative algebra over the reals. However, the odd functions do not form an algebra

Hyperbolic quaternion (2,107 words) [view diff] exact match in snippet view article find links to article

the 1890s Richard Dedekind had introduced the ring concept into commutative algebra, and the vector space concept was being abstracted by Giuseppe Peano

Tor functor (1,973 words) [view diff] exact match in snippet view article find links to article

commutative R-algebras A and B, TorR *(A,B) has the structure of a graded-commutative algebra over R. Moreover, elements of odd degree in the Tor algebra have

XSL attack (1,777 words) [view diff] case mismatch in snippet view article find links to article

1007/11593447_18. Diem, Claus (2004). "The XL-Algorithm and a Conjecture from Commutative Algebra". In Lee, Pil Joong (ed.). Advances in Cryptology - ASIACRYPT 2004

Complementarity (physics) (2,929 words) [view diff] exact match in snippet view article

"astounding simplicity", by describing physical quantities using non-commutative algebra. This mathematical expression of complementarity builds on the work

Group Hopf algebra (1,201 words) [view diff] exact match in snippet view article find links to article

k [ G ] {\displaystyle k[G]} and k G {\displaystyle k^{G}} – the commutative algebra of functions of G into k – are dual: given an element of the group

Characteristic polynomial (3,023 words) [view diff] no match in snippet view article find links to article

an arbitrary finite-dimensional (associative, but not necessarily commutative) algebra over a field F {\displaystyle F} and proves the standard properties

Icosian game (1,699 words) [view diff] exact match in snippet view article find links to article

this purpose he also invented icosian calculus, a system of non-commutative algebra which he used to compute these symmetries. The name of the icosian

Plücker embedding (1,351 words) [view diff] exact match in snippet view article find links to article

Zbl 0836.14001 Miller, Ezra; Sturmfels, Bernd (2005). Combinatorial commutative algebra. Graduate Texts in Mathematics. Vol. 227. New York, NY: Springer-Verlag

Salomon Bochner (993 words) [view diff] exact match in snippet view article find links to article

J.: Princeton University Press. Bochner, S. (1938). Lectures on commutative algebra. Ann Arbor, Mich.: Planographed by Edwards Brothers, inc; lectures

Tensor product of fields (1,826 words) [view diff] exact match in snippet view article find links to article

(PDF). pp. 140–2. Zariski, Oscar; Samuel, Pierre (1975) [1958]. Commutative algebra I. Graduate Texts in Mathematics. Vol. 28. Springer-Verlag. ISBN 978-0-387-90089-6

Polymake (1,306 words) [view diff] exact match in snippet view article find links to article

polynomial computations, with special emphasis on commutative and non-commutative algebra, algebraic geometry, and singularity theory sketch: for making line

Circulant matrix (2,755 words) [view diff] exact match in snippet view article find links to article

group ring of C n {\displaystyle C_{n}} . Circulant matrices form a commutative algebra, since for any two given circulant matrices A {\displaystyle A} and

Donal O'Shea (349 words) [view diff] exact match in snippet view article find links to article

algorithms: an introduction to computational algebraic geometry and commutative algebra, 3rd. edition, Springer Verlag, 2007. "Donal B. O'Shea". www.encyclopedia

Algebra extension (837 words) [view diff] case mismatch in snippet view article find links to article

Winders, M. (March 2009). "Idealization of a Module". Journal of Commutative Algebra. 1 (1): 3–56. doi:10.1216/JCA-2009-1-1-3. ISSN 1939-2346. S2CID 120720674

Well-founded relation (1,382 words) [view diff] exact match in snippet view article find links to article

Retrieved 20 February 2019. Bourbaki, N. (1972) Elements of mathematics. Commutative algebra, Addison-Wesley. Just, Winfried and Weese, Martin (1998) Discovering