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Longer titles found: Landweber exact functor theorem (view), Topological half-exact functor (view)

searching for Exact functor 13 found (60 total)

Peter Landweber (483 words) [view diff] exact match in snippet view article find links to article

algebra in the 1960s). In the beginning of the 1970s, he proved his exact functor theorem, which allows the construction of a homology theory from a formal

Triangulated category (5,798 words) [view diff] exact match in snippet view article find links to article

is an exact functor F : D → E {\displaystyle F\colon D\to E} that is also an equivalence of categories. In this case, there is an exact functor G : E

Injective sheaf (1,059 words) [view diff] exact match in snippet view article find links to article

classifier). This is enough to show that right derived functors of any left exact functor exist and are unique up to canonical isomorphism. For technical purposes

Differential graded category (825 words) [view diff] exact match in snippet view article find links to article

category whose homotopy category is equivalent to T. dg enhancements of an exact functor between triangulated categories are defined similarly. In general, there

Equivalence of categories (1,989 words) [view diff] exact match in snippet view article find links to article

Applying it to kernels and cokernels, we see that the equivalence F is an exact functor. C is a cartesian closed category (or a topos) if and only if D is cartesian

Commutative ring (5,655 words) [view diff] exact match in snippet view article find links to article

R in terms of a regular sequence. The tensor product is another non-exact functor relevant in the context of commutative rings: for a general R-module

Hopf algebroid (2,156 words) [view diff] exact match in snippet view article find links to article

Francis, John; Henriques, André G.; Hill, Michael A. "4. Landweber exact functor theorem". Topological modular forms (PDF). Providence, Rhode Island

Flat morphism (3,528 words) [view diff] exact match in snippet view article find links to article

only if for every g, the pullback f ′ ∗ {\displaystyle f'^{*}} is an exact functor from the category of quasi-coherent O Y ′ {\displaystyle {\mathcal {O}}_{Y'}}

Lie algebra representation (4,308 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \operatorname {Ind} _{\mathfrak {h}}^{\mathfrak {g}}} is an exact functor from the category of h {\displaystyle {\mathfrak {h}}} -modules to the

T-structure (6,305 words) [view diff] exact match in snippet view article find links to article

{\displaystyle F\colon {\mathcal {D}}_{1}\to {\mathcal {D}}_{2}} is an exact functor (in the usual sense for triangulated categories, that is, up to a natural

Morphism of schemes (5,020 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\mathcal {O}}_{f(x)}\to {\mathcal {O}}_{x}} yields an exact functor − ⊗ O f ( x ) O x . {\displaystyle -\otimes _{{\mathcal {O}}_{f(x)}}{\mathcal

Derived noncommutative algebraic geometry (4,702 words) [view diff] exact match in snippet view article find links to article

{\mathcal {T}}/{\mathcal {N}}} has the following universal property: any exact functor F : T → T ′ {\displaystyle F:{\mathcal {T}}\to {\mathcal {T}}'} where

Dimension theory (algebra) (6,957 words) [view diff] exact match in snippet view article

difficulty that Γ m {\displaystyle \Gamma _{\mathfrak {m}}} is a left-exact functor and then let H m j = R j Γ m {\displaystyle H_{\mathfrak {m}}^{j}=R^{j}\Gamma