Injective cogenerator
Injective cogenerator In category theory, the concept of an injective cogenerator is drawn from examples such as Pontryagin ... non-zero morphism f:G -> H. A cogenerator is an object C such that ...
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Talk:Injective cogenerator
Talk:Injective cogenerator User:Charles Matthews This rather isolated page ...
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Injective module
Injective module In mathematics, an injective module is a module Q that shares ... is dual to that of projective modules. Injective modules were introduced by Reinhold Baer in ... module Q over the ring R is injective if it satisfies one (and therefore all ... and f : X → Y is an injective module homomorphism and g : X → ...
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Algebraically compact module
... algebra, algebraically compact modules, also called pure-injective modules, are modules that have a certain ... homomorphism M → K is called pure injective if the induced homomorphism between the tensor ... ⊗ M → C ⊗ K is injective for every right R-module C. The module M is pure-injective if any pure injective homomorphism j : M → K splits ( ...
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List of mathematics articles (I)
... Initial object -- Initial topology -- Initial value problem -- Injective -- Injective cogenerator -- Injective dimension -- Injective function -- Injective hull -- Injective module -- Injective ...
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List of mathematics articles (G-I)
... Initial object -- Initial topology -- Initial value problem -- Injective -- Injective cogenerator -- Injective dimension -- Injective function -- Injective hull -- Injective module -- Injective ...
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Category of abelian groups
... category. The monomorphisms in Ab are the injective group homomorphisms, the epimorphisms are the surjective ... right adjoint. An object in Ab is injective if and only if it is divisible ... has a projective generator (Z) and an injective cogenerator (Q/Z). Given two abelian groups A ...
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Category:Category theory
... Image (category theory) Initial algebra Initial object Injective cogenerator Inverse limit Isomorphism K Karoubi envelope Kernel ...
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Mitchell's embedding theorem
... to Ab we can construct a certain injective cogenerator H whose endomorphism ring we call R ...
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List of category theory topics
... Short five lemma Mitchell's embedding theorem Injective cogenerator Derived category Triangulated category Model category 2 ...
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