List questions from homological-algebra

Published on 07 Jul 2016 - 0:18

190

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Functoriality of internal hom of chain complexes

Published on 08 Jul 2016 - 18:22

160

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$(\mathbb{Z}/n\mathbb{Z})$-homology isomorphism is also a $(\mathbb{Z}/n^k\mathbb{Z})$-homology isomorphism

Published on 10 Jul 2016 - 10:29

932

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What's wrong with my understanding of the Freyd-Mitchell Embedding Theorem?

Published on 11 Jul 2016 - 4:47

351

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What is the kernel of the map $H_i(X;\mathbb Z)\to H_i(X;\mathbb Z_2)$?

Published on 11 Jul 2016 - 16:17

196

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When does the Grothendieck spectral sequence converge?

Published on 25 Mar 2026 - 17:18

315

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Why should a DG-module homomorphism also be a chain map?

Published on 12 Jul 2016 - 2:05

105

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Right exact functor applied to epimorphism of cohomology is still epimorphism?

Published on 13 Jul 2016 - 21:17

218

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Why does this homological lemma hold?

Published on 14 Jul 2016 - 19:18

173

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Generalization of Universal Coefficient Theorem

Published on 14 Jul 2016 - 23:10

1.1k

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Ideals and Tensor Products

Published on 16 Jul 2016 - 14:30

114

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Prove that $A \otimes_R B \cong (A \otimes_{\mathbb{Z}} B)/ H$

Published on 16 Jul 2016 - 15:43

65

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Maps inducing identity in Hochschild and cyclic theories

Published on 25 Mar 2026 - 20:42

98

Views

Why is a projective module called "projective"?

Published on 27 Mar 2026 - 9:06

2.7k

Views

Derived tensor product

Published on 19 Jul 2016 - 0:32

List Question

Stronger version of Acyclic Models Theorem

Functoriality of internal hom of chain complexes

$(\mathbb{Z}/n\mathbb{Z})$-homology isomorphism is also a $(\mathbb{Z}/n^k\mathbb{Z})$-homology isomorphism

What's wrong with my understanding of the Freyd-Mitchell Embedding Theorem?

What is the kernel of the map $H_i(X;\mathbb Z)\to H_i(X;\mathbb Z_2)$?

When does the Grothendieck spectral sequence converge?

Why should a DG-module homomorphism also be a chain map?

Right exact functor applied to epimorphism of cohomology is still epimorphism?

Why does this homological lemma hold?

Generalization of Universal Coefficient Theorem

Ideals and Tensor Products

Prove that $A \otimes_R B \cong (A \otimes_{\mathbb{Z}} B)/ H$

Maps inducing identity in Hochschild and cyclic theories

Why is a projective module called "projective"?

Derived tensor product

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