List questions from homological-algebra

Published on 27 Nov 2019 - 13:35

62

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A computation of $Ext^1(M,N)$ (how to derive the commutative diagram for $Ext^1(M,N)$?).

Published on 28 Nov 2019 - 16:21

124

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Finite projective chain complex acyclic iff isomorphic to direct sum of shifts

Published on 26 Mar 2026 - 22:15

480

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Chain maps between projective complexes are nullhomotopic

Published on 25 Mar 2026 - 16:39

269

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Opposite and product of derived categories

Published on 25 Mar 2026 - 12:33

167

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Possible error in McCleary's guide to spectral sequences

Published on 25 Mar 2026 - 17:51

367

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Quotient of a local Cohen-Macaulay ring by a minimal prime

Published on 25 Mar 2026 - 11:03

123

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$Tor(X,Y)=0$ for every R-module Y implies $Tor_n(X,Y)$?

Published on 02 Dec 2019 - 13:14

191

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Can we extend homomorphisms between submodules of finitely generated projective modules?

Published on 27 Mar 2026 - 22:03

73

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Can an algebra be morita equivalent to its dg-extension?

Published on 23 Mar 2026 - 6:48

381

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Homology of the Koszul Complex of a quotient ring: an explicit example.

Published on 25 Mar 2026 - 13:48

56

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Bimodule resolutions

Published on 03 Apr 2026 - 17:39

106

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Explicit computation of projective dimension

Published on 25 Mar 2026 - 9:22

43

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Generation criterion for dg/stable linear category

Published on 03 Apr 2026 - 18:05

52

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Why $H_5(\mathbb{R}P^5) = \mathbb{Z}$?

Published on 04 Dec 2019 - 11:10

List Question

Understanding the solution of a problem in section 2.1 in AT.

A computation of $Ext^1(M,N)$ (how to derive the commutative diagram for $Ext^1(M,N)$?).

Finite projective chain complex acyclic iff isomorphic to direct sum of shifts

Chain maps between projective complexes are nullhomotopic

Opposite and product of derived categories

Possible error in McCleary's guide to spectral sequences

Quotient of a local Cohen-Macaulay ring by a minimal prime

$Tor(X,Y)=0$ for every R-module Y implies $Tor_n(X,Y)$?

Can we extend homomorphisms between submodules of finitely generated projective modules?

Can an algebra be morita equivalent to its dg-extension?

Homology of the Koszul Complex of a quotient ring: an explicit example.

Bimodule resolutions

Explicit computation of projective dimension

Generation criterion for dg/stable linear category

Why $H_5(\mathbb{R}P^5) = \mathbb{Z}$?

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