List questions from homological-algebra

Published on 26 Mar 2026 - 14:18

39

Views

Extensions of $FP_{n}$ groups

Published on 29 Mar 2026 - 15:31

70

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Long exact sequence of derived functors from a finite exact sequence (resolution) ending with zeros

Published on 25 Mar 2026 - 12:33

212

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Retract of a chain complex.

Published on 18 Oct 2019 - 15:02

86

Views

Local Gorenstein ring such that the square of the maximal ideal contains every minimal prime ideal

Published on 19 Oct 2019 - 5:35

725

Views

In triangulated category, why do we use triangles, but not exact sequences?

Published on 30 Mar 2026 - 3:25

222

Views

Grothendieck group of equivalent categories

Published on 25 Mar 2026 - 3:02

255

Views

Construct a coherent subsheaf of a quasi-coherent sheaf

Published on 25 Mar 2026 - 14:33

99

Views

Completion of a ring and the canonical map

Published on 22 Oct 2019 - 8:32

192

Views

Quasi isomorphisms are weak equivalences for the category of chain complexes

Published on 23 Oct 2019 - 6:52

285

Views

(Question in a solution)If $M$ is finitely presented, $L$ is finitely generated

Published on 23 Oct 2019 - 11:37

314

Views

Local Cohen-Macaulay ring of minimal multiplicity

Published on 24 Oct 2019 - 3:46

128

Views

On a special kind of local Gorenstein ring of dimension $2$

Published on 02 Apr 2026 - 2:23

47

Views

Naturality of certain isomorphisms for $\mathrm{Hom}$-functors

Published on 26 Oct 2019 - 13:42

315

Views

Equivalence of left R module category and the opposite of the right R module category

Published on 26 Oct 2019 - 18:23

List Question

How does one dualize a short exact sequence into a long exact sequence?

Extensions of $FP_{n}$ groups

Long exact sequence of derived functors from a finite exact sequence (resolution) ending with zeros

Retract of a chain complex.

Local Gorenstein ring such that the square of the maximal ideal contains every minimal prime ideal

In triangulated category, why do we use triangles, but not exact sequences?

Grothendieck group of equivalent categories

Construct a coherent subsheaf of a quasi-coherent sheaf

Completion of a ring and the canonical map

Quasi isomorphisms are weak equivalences for the category of chain complexes

(Question in a solution)If $M$ is finitely presented, $L$ is finitely generated

Local Cohen-Macaulay ring of minimal multiplicity

On a special kind of local Gorenstein ring of dimension $2$

Naturality of certain isomorphisms for $\mathrm{Hom}$-functors

Equivalence of left R module category and the opposite of the right R module category

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