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15
107
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What is the monomorphism that forms the homology group?

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#category-theory #homological-algebra #abelian-categories
60
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Injective objects in a category

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#category-theory #homology-cohomology #homological-algebra #abelian-categories
133
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Category of complexes

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#category-theory #homological-algebra #abelian-categories
220
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Snake lemma and regular epi mono factorization

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#category-theory #modules #homological-algebra #exact-sequence #abelian-categories
82
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A question to Weibel’s IHA lemma 2.6.14 Part 2

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#category-theory #homological-algebra #abelian-categories
73
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Why do the finitely generated subsheaves of a sheaf form a directed system?

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#category-theory #homological-algebra #sheaf-theory #abelian-categories
221
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Supremum of a family of subobjects in an abelian category

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#category-theory #abelian-categories #direct-sum
64
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Opposite effective classes in a Grothendieck group

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#homological-algebra #abelian-categories #k-theory
86
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Question about $\mbox{Ext}$ groups in abelian categories

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#category-theory #abelian-categories #derived-functors
434
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How to show that $\mathsf{Ab}$(Category of Abelian Groups) is an abelian category?

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#category-theory #abelian-categories
76
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Is the kernel of projections in an additive category preserved by additive functors?

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#category-theory #abelian-categories #additive-categories
58
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Sum of representation categories

Published on
#abstract-algebra #category-theory #abelian-categories
91
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Is the twist of the direct sum of simple objects the direct sum of the twists?

Published on
#category-theory #abelian-categories #fusion-categories
328
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Why $f'$ is an isomorphism if the rightmost square is a pullback?

Published on
#category-theory #exact-sequence #abelian-categories #pullback
415
Views

Why the rightmost square is a pullback?

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#category-theory #exact-sequence #abelian-categories #pullback

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