List questions from injective-module

Published on 13 Oct 2021 - 4:37

90

Views

Change of variable for a bijective function

Published on 15 Oct 2021 - 15:50

240

Views

$M$ is a projective module iff $D(M)$ is an injective module

Published on 25 Oct 2021 - 15:23

320

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Find indecomposable projective/injective module over $k[x]/ \langle x^n \rangle$

Published on 26 Oct 2021 - 2:16

166

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Injective objects in the category of finite groups.

Published on 29 Nov 2021 - 22:36

46

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When is $(M) / (M ⊗ I)$ $\simeq$ to $M/(MI)$?

Published on 21 Dec 2021 - 12:40

83

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How can i show intersection of injective modules?

Published on 04 Jan 2022 - 19:36

109

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Coproduct of injective modules

Published on 20 Jan 2022 - 0:38

520

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Meaning of injectives objects in a category

Published on 27 Mar 2026 - 14:51

40

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Do images and kernels of invariant modules have the form $Mr$ and $\text{Ann}(r)$ respectively for some $r\in R$?

Published on 30 Jan 2022 - 9:45

46

Views

Prove that if $M=f(M)+\ker(f)$ and $S=\text{End}_R(M)$ is a reduced ring, then $S$ is regular

Published on 25 Mar 2026 - 11:04

101

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Does Repf($G$) have enough injectives?

Published on 26 Mar 2026 - 12:05

82

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Abstract Nonsense vs. explicit definition of first lie algebra cohomology $H^1(\mathfrak g, E)$

Published on 15 Feb 2022 - 0:58

80

Views

Injective modules and prime ideals

Published on 18 Mar 2022 - 19:25

112

Views

The functor $\operatorname{Hom}(-,M)$, is it faithful?

Published on 21 Mar 2022 - 22:43

List Question

Top-injective and indiscrete

Change of variable for a bijective function

$M$ is a projective module iff $D(M)$ is an injective module

Find indecomposable projective/injective module over $k[x]/ \langle x^n \rangle$

Injective objects in the category of finite groups.

When is $(M) / (M ⊗ I)$ $\simeq$ to $M/(MI)$?

How can i show intersection of injective modules?

Coproduct of injective modules

Meaning of injectives objects in a category

Do images and kernels of invariant modules have the form $Mr$ and $\text{Ann}(r)$ respectively for some $r\in R$?

Prove that if $M=f(M)+\ker(f)$ and $S=\text{End}_R(M)$ is a reduced ring, then $S$ is regular

Does Repf($G$) have enough injectives?

Abstract Nonsense vs. explicit definition of first lie algebra cohomology $H^1(\mathfrak g, E)$

Injective modules and prime ideals

The functor $\operatorname{Hom}(-,M)$, is it faithful?

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