List questions from homological-algebra

Published on 10 Dec 2019 - 11:06

215

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Exact functors on the homotopy category

Published on 31 Mar 2026 - 0:50

61

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Determine all abelian group $G$ such that $0 \to \mathbb{Z} \to G \to \mathbb{Z}_2^k \to 0$ is exact

Published on 10 Dec 2019 - 21:57

108

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Cofbrant Replacement in CDGA

Published on 26 Mar 2026 - 8:39

254

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may be a typo in the solution of problem 10, part(a) in section 2.2 of AT.

Published on 11 Dec 2019 - 22:59

401

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How to use the homology version of Whitehead theorem to prove this question?

Published on 12 Dec 2019 - 3:46

671

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De Rham cohomology group of disjoint union

Published on 31 Mar 2026 - 6:05

94

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Bar construction of the nerve of a category

Published on 13 Dec 2019 - 4:08

65

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Product in cohomology and homology $(\xi \times \eta) \frown ( x \times y) = (-1)^{p_2 q_1}(\xi \frown x) \times (\eta \frown y)$

Published on 13 Dec 2019 - 9:59

49

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Why quotient of free $\mathbb{Z}F$-module can be seen as a free module on $\mathbb{Z}G$, where $G$ is a quotient of $F$?

Published on 25 Mar 2026 - 12:49

105

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Projective modules and nondegenerate pairings

Published on 27 Mar 2026 - 21:54

445

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Over which Noetherian local rings are any second syzygy module reflexive?

Published on 25 Mar 2026 - 11:11

278

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Vector space structure on extensions of vector bundles

Published on 28 Mar 2026 - 19:29

341

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Why does a filtration of a group consist of normal subgroups, and not any subgroups?

Published on 26 Mar 2026 - 2:56

369

Views

A general generalized homology theory

Published on 17 Dec 2019 - 18:30

List Question

What is $\mathrm{Ext}_{\mathbb{Z}}^1 (\mathbb{Z}[[ t ]] , \mathbb{Z})$?

Exact functors on the homotopy category

Determine all abelian group $G$ such that $0 \to \mathbb{Z} \to G \to \mathbb{Z}_2^k \to 0$ is exact

Cofbrant Replacement in CDGA

may be a typo in the solution of problem 10, part(a) in section 2.2 of AT.

How to use the homology version of Whitehead theorem to prove this question?

De Rham cohomology group of disjoint union

Bar construction of the nerve of a category

Product in cohomology and homology $(\xi \times \eta) \frown ( x \times y) = (-1)^{p_2 q_1}(\xi \frown x) \times (\eta \frown y)$

Why quotient of free $\mathbb{Z}F$-module can be seen as a free module on $\mathbb{Z}G$, where $G$ is a quotient of $F$?

Projective modules and nondegenerate pairings

Over which Noetherian local rings are any second syzygy module reflexive?

Vector space structure on extensions of vector bundles

Why does a filtration of a group consist of normal subgroups, and not any subgroups?

A general generalized homology theory

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