List questions from homological-algebra

Published on 20 Mar 2026 - 14:19

105

Views

Describe explicitly a minimal free resolution

Published on 19 Mar 2026 - 23:23

118

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$A$ - dga over field, then $H^i(A) = 0, i > 1$ implies $HH_i(A) = 0, i < -1$

Published on 17 Mar 2026 - 12:29

129

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Tensor product $M\otimes_B Hom_B(M,B)$ equals $End_B(M)$, $M$ finitely generated over $B$ and projective

Published on 24 Mar 2026 - 10:13

103

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Group cohomology of $\mathrm{GL}(V)$

Published on 27 Mar 2026 - 11:44

278

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two maps are not homotopic equivalent

Published on 25 Mar 2026 - 11:55

66

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Existence of adjugant with making given natural transformation be the counit

Published on 22 Mar 2026 - 6:57

111

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Noetherian property is redundant?

Published on 27 Mar 2026 - 8:17

107

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What is the monomorphism that forms the homology group?

Published on 20 Mar 2026 - 8:25

220

Views

Rational points on conics over fields of dimension 1

Published on 23 Mar 2026 - 5:51

65

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$Ext(-,\mathbb Z)$ for profinite (Galois) groups

Published on 26 Mar 2026 - 13:45

962

Views

How to compute group cohomology $H^2_\sigma(\mathbb{Z}\times \mathbb{Z}, \mathbb{Z}_2\times \mathbb{Z}_2)$ with nontrivial $G$-module

Published on 28 Mar 2026 - 4:43

935

Views

Hochschild-Serre spectral sequence

Published on 27 Mar 2026 - 5:03

183

Views

Image of a morphism of chain complexes of sheaves via direct/inverse image functor

Published on 17 Mar 2026 - 13:38

61

Views

Injective objects in a category

Published on 26 Mar 2026 - 23:23

List Question

How does $\operatorname{Ind}^G_H$ behave with respect to $\bigoplus$?

Describe explicitly a minimal free resolution

$A$ - dga over field, then $H^i(A) = 0, i > 1$ implies $HH_i(A) = 0, i < -1$

Tensor product $M\otimes_B Hom_B(M,B)$ equals $End_B(M)$, $M$ finitely generated over $B$ and projective

Group cohomology of $\mathrm{GL}(V)$

two maps are not homotopic equivalent

Existence of adjugant with making given natural transformation be the counit

Noetherian property is redundant?

What is the monomorphism that forms the homology group?

Rational points on conics over fields of dimension 1

$Ext(-,\mathbb Z)$ for profinite (Galois) groups

How to compute group cohomology $H^2_\sigma(\mathbb{Z}\times \mathbb{Z}, \mathbb{Z}_2\times \mathbb{Z}_2)$ with nontrivial $G$-module

Hochschild-Serre spectral sequence

Image of a morphism of chain complexes of sheaves via direct/inverse image functor

Injective objects in a category

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