List questions from homological-algebra

Published on 07 Oct 2019 - 0:22

54

Views

Nonzero element in ${\rm Hom}_\mathbb{Z}(\prod_{n\geq 2}\mathbb{Z}/n\mathbb{Z},\mathbb{Q})$

Published on 07 Oct 2019 - 12:20

86

Views

Homotopy of chain maps

Published on 07 Oct 2019 - 17:01

410

Views

Betti numbers and dimension of socle of an ideal

Published on 25 Mar 2026 - 12:35

179

Views

Hom sheaf of a torsion sheaf

Published on 29 Mar 2026 - 6:47

37

Views

Hands-on definition of cotorsion quotient

Published on 21 Mar 2026 - 11:11

44

Views

Relations between minimal free resolution of a module and minimal free resolution of its submodule

Published on 10 Oct 2019 - 15:20

247

Views

Homotopy category is not Abelian.

Published on 31 Mar 2026 - 14:01

232

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A cochain complex with finitely generated cohomology is quasi-isomorphic to a cochain complex of finitely generated module

Published on 11 Oct 2019 - 2:33

4k

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Understanding singular homology of a point

Published on 12 Oct 2019 - 14:12

101

Views

$d^3$ in the Atiyah-Hirzebruch spectral sequence for (twisted) $KO$

Published on 25 Mar 2026 - 10:55

85

Views

Torsion of simple abelian group extension

Published on 12 Oct 2019 - 18:25

46

Views

Given spectral sequence of algebras $E_r$, why for all page, $H(E_r)\otimes_kH(E_r)\cong H(E_r\otimes_k E_r)$?

Published on 25 Mar 2026 - 16:13

48

Views

Why $d(u^k)=kdu(u^{k-1})$ without knowing $u$ is a commutative element?

Published on 25 Mar 2026 - 17:51

217

Views

Socle and minimal number of generators of an ideal in a regular local ring

Published on 02 Apr 2026 - 14:36

List Question

Use Koszul complex to show an ideal in $k[x,y,z]$ is contained into another ideal

Nonzero element in ${\rm Hom}_\mathbb{Z}(\prod_{n\geq 2}\mathbb{Z}/n\mathbb{Z},\mathbb{Q})$

Homotopy of chain maps

Betti numbers and dimension of socle of an ideal

Hom sheaf of a torsion sheaf

Hands-on definition of cotorsion quotient

Relations between minimal free resolution of a module and minimal free resolution of its submodule

Homotopy category is not Abelian.

A cochain complex with finitely generated cohomology is quasi-isomorphic to a cochain complex of finitely generated module

Understanding singular homology of a point

$d^3$ in the Atiyah-Hirzebruch spectral sequence for (twisted) $KO$

Torsion of simple abelian group extension

Given spectral sequence of algebras $E_r$, why for all page, $H(E_r)\otimes_kH(E_r)\cong H(E_r\otimes_k E_r)$?

Why $d(u^k)=kdu(u^{k-1})$ without knowing $u$ is a commutative element?

Socle and minimal number of generators of an ideal in a regular local ring

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