List questions from homological-algebra

Published on 26 Mar 2026 - 21:10

644

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Equivalent Definition of Projective Cover

Published on 02 Feb 2020 - 5:58

74

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Ext group of $k$ in the category of graded modules over the exterior algebra

Published on 03 Feb 2020 - 7:36

132

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Ideal $J$ in a Noetherian local domain such that the natural map $J \otimes_R J \to J^2$ is an isomorphism

Published on 26 Mar 2026 - 1:04

78

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A short sequence of groups

Published on 27 Mar 2026 - 0:02

45

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extension of discrete groups

Published on 27 Mar 2026 - 0:09

253

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If $F$ is a free module then $-\otimes F$ is an exact functor

Published on 04 Feb 2020 - 8:38

115

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Relating Two Notions of Homology

Published on 27 Mar 2026 - 14:21

29

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Proposition of complexes in Homology

Published on 05 Feb 2020 - 17:46

91

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To find kernel of $\rho:\mathbb{Z}[G^2] \to \mathbb{Z}[G/H]$, where $\rho((g_1,g_2))=Hg_2-Hg_1$

Published on 26 Mar 2026 - 19:20

223

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Isomorphism of square zero extension algebras related to Hochschild cohomology

Published on 02 Apr 2026 - 11:07

49

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A Construction of a map $h:H^n(C;G)\rightarrow{\rm Hom}(H_n(C),G)$

Published on 07 Feb 2020 - 22:21

32

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A complex with prescribed cohomology

Published on 09 Feb 2020 - 0:30

41

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Confused by definition of ${}_{a}M$ where $a$ is a nonzero divisor and $M$ is an $R$-module.

Published on 09 Feb 2020 - 18:31

97

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Theorem B1 in Matsumura's "Commutative Ring Theory," Appendix B.

Published on 09 Feb 2020 - 23:29

List Question

Calculation of homology groups of chain complex $C_*(Y) \otimes_{\mathbb{Z[G]}} \mathbb{Z}$.

Equivalent Definition of Projective Cover

Ext group of $k$ in the category of graded modules over the exterior algebra

Ideal $J$ in a Noetherian local domain such that the natural map $J \otimes_R J \to J^2$ is an isomorphism

A short sequence of groups

extension of discrete groups

If $F$ is a free module then $-\otimes F$ is an exact functor

Relating Two Notions of Homology

Proposition of complexes in Homology

To find kernel of $\rho:\mathbb{Z}[G^2] \to \mathbb{Z}[G/H]$, where $\rho((g_1,g_2))=Hg_2-Hg_1$

Isomorphism of square zero extension algebras related to Hochschild cohomology

A Construction of a map $h:H^n(C;G)\rightarrow{\rm Hom}(H_n(C),G)$

A complex with prescribed cohomology

Confused by definition of ${}_{a}M$ where $a$ is a nonzero divisor and $M$ is an $R$-module.

Theorem B1 in Matsumura's "Commutative Ring Theory," Appendix B.

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