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searching for Injective hull 4 found (26 total)

Essential monomorphism (103 words) [view diff] exact match in snippet view article find links to article

are those whose image is an essential submodule of the codomain. An injective hull of an object A is an essential monomorphism from A to an injective object

Dualizing module (379 words) [view diff] exact match in snippet view article find links to article

module. If R is an Artinian local ring then the Matlis module of R (the injective hull of the residue field) is the dualizing module. The Artinian local ring

Glossary of module theory (2,610 words) [view diff] exact match in snippet view article find links to article

I\to L\to L'\to 0} is split. 2. An injective envelope (also called injective hull) is a maximal essential extension, or a minimal embedding in an injective

Timeline of category theory and related mathematics (273 words) [view diff] exact match in snippet view article find links to article

deflation P(x)→x (the projective cover of x) and an inflation x→I(x) (the injective hull of x) such that both P(x) and I(x) are in the category of pro/injective