List questions from homological-algebra

Published on 20 Jul 2016 - 14:04

643

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Survey articles in Commutative/Homological algebra

Published on 21 Jul 2016 - 14:32

110

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Koszul complex: isomorphism between $K(a_1,\ldots, a_n;A) \simeq K(a_1;A) \otimes \cdots \otimes K(a_n;A)$

Published on 22 Jul 2016 - 10:20

536

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Grading of Cech-de Rham cohomology

Published on 25 Mar 2026 - 19:25

142

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torsion in reduced K-theory

Published on 25 Mar 2026 - 6:11

154

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Let $\mathcal{A}$ be an Abelian category (as defined in Stacks), then all monomorphisms are kernels.

Published on 26 Jul 2016 - 19:20

251

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Why are spherical objects so named?

Published on 26 Jul 2016 - 20:31

361

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What does "is natural in $A$" mean in this context?

Published on 25 Mar 2026 - 17:24

623

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Why are chain complexes only constructed in additive categories?

Published on 30 Jul 2016 - 3:56

89

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Are there names for $A_n$, $Z_n$ and $B_n$ in a chain complex?

Published on 31 Jul 2016 - 8:27

2k

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$Q$ is an injective module iff injections from $Q$ always split

Published on 26 Mar 2026 - 14:28

455

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Homotopic homomorphisms of chain complexes induce the same homomorphisms of on the level of homology

Published on 01 Aug 2016 - 14:23

172

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Subadditivity of Betti number for relative homology

Published on 25 Mar 2026 - 23:39

890

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Why do we impose conditions on the modules in resolutions?

Published on 25 Mar 2026 - 17:18

357

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$\mbox{Hom}_R(M,N)$ as a left R-module.

Published on 06 Aug 2016 - 11:07

List Question

Are "noncommutative resolutions" a thing?

Survey articles in Commutative/Homological algebra

Koszul complex: isomorphism between $K(a_1,\ldots, a_n;A) \simeq K(a_1;A) \otimes \cdots \otimes K(a_n;A)$

Grading of Cech-de Rham cohomology

torsion in reduced K-theory

Let $\mathcal{A}$ be an Abelian category (as defined in Stacks), then all monomorphisms are kernels.

Why are spherical objects so named?

What does "is natural in $A$" mean in this context?

Why are chain complexes only constructed in additive categories?

Are there names for $A_n$, $Z_n$ and $B_n$ in a chain complex?

$Q$ is an injective module iff injections from $Q$ always split

Homotopic homomorphisms of chain complexes induce the same homomorphisms of on the level of homology

Subadditivity of Betti number for relative homology

Why do we impose conditions on the modules in resolutions?

$\mbox{Hom}_R(M,N)$ as a left R-module.

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