List questions from injective-module

Published on 07 Jul 2023 - 10:40

29

Views

Difference between the injective object in the category of cochain complexes of modules and injective cochain complexes

Published on 26 Mar 2026 - 9:26

48

Views

Finite injective resolution of a constant sheaf

Published on 21 Jul 2023 - 18:42

68

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What is the importance of a projective cover and injective hull for a module?

Published on 02 Aug 2023 - 4:30

64

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chain map from a resolution to another injective resolution induced by linear map is unique up to chain homotopy equivalence

Published on 10 Aug 2023 - 15:15

48

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Hom and Injective envelope

Published on 16 Aug 2023 - 13:36

36

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Constructing injective resolution on big sites.

Published on 10 Sep 2023 - 1:38

40

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Projective module on the ring of dual numbers

Published on 19 Sep 2023 - 9:32

36

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Confusion about injectivity of $\mathbb{Z}/m\mathbb{Z}$

Published on 05 Oct 2023 - 11:21

46

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Is $k[x, x^{-1}]$ a (graded) injective $k[x]$-module

Published on 25 Mar 2026 - 20:35

61

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Question about proof that two modules are injectively equivalent.

Published on 08 Oct 2023 - 4:04

90

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A module $J$ is injective iff every short exact sequence of the form $0\to J\to A\to B\to 0$ splits.

Published on 14 Oct 2023 - 17:24

71

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How Should I Prove this Function is an Isomorphism?

Published on 25 Oct 2023 - 15:11

64

Views

Is this a valid proof of Well-definedness?

Published on 27 Oct 2023 - 0:37

28

Views

How Should I Prove this Function is Well-defined?

Published on 27 Oct 2023 - 1:49

List Question

Injectivity of the ring of formal power series over itself

Difference between the injective object in the category of cochain complexes of modules and injective cochain complexes

Finite injective resolution of a constant sheaf

What is the importance of a projective cover and injective hull for a module?

chain map from a resolution to another injective resolution induced by linear map is unique up to chain homotopy equivalence

Hom and Injective envelope

Constructing injective resolution on big sites.

Projective module on the ring of dual numbers

Confusion about injectivity of $\mathbb{Z}/m\mathbb{Z}$

Is $k[x, x^{-1}]$ a (graded) injective $k[x]$-module

Question about proof that two modules are injectively equivalent.

A module $J$ is injective iff every short exact sequence of the form $0\to J\to A\to B\to 0$ splits.

How Should I Prove this Function is an Isomorphism?

Is this a valid proof of Well-definedness?

How Should I Prove this Function is Well-defined?

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