List questions from injective-module

Published on 28 Aug 2020 - 20:34

56

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A question in verifying conditions of Zorn' s Lemma

Published on 30 Aug 2020 - 5:48

113

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How to verify this property of homomorphism

Published on 30 Aug 2020 - 11:26

39

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Does $M$-injectivity impy injectivity?

Published on 31 Aug 2020 - 8:44

19

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Quasi injective direct sum impy injectivity.

Published on 31 Aug 2020 - 10:40

42

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Why injectivity class doesn't imply weakly reflective

Published on 04 Sep 2020 - 14:17

47

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$\Lambda/\mathfrak{r}\cong \operatorname{soc}(\Lambda)$ as a criterion for self-injectivity

Published on 25 Mar 2026 - 20:08

524

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The dual for Abelian group on Q/Z

Published on 17 Sep 2020 - 8:57

90

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T.Y. Lam's divisible module definition and factor modules.

Published on 23 Feb 2026 - 4:35

614

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Proof that Divisible Modules are Injective over a PID

Published on 14 Oct 2020 - 17:53

42

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If $G=\bigoplus_i\Bbb Z/p_i^{n_i}\Bbb Z$, then for which integers $r\neq\pm 1$ is $G=Gr$?

Published on 31 Oct 2020 - 14:27

978

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Baer's criterion for injective modules

Published on 12 Nov 2020 - 20:00

68

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Prove that $f_a:M\to M,m\mapsto ma$ is an isomorphism whenever it injective iff there is nonzero linear map $f:Ε\to Μ$ with $Ε$ injective.

Published on 13 Nov 2020 - 21:56

29

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Injectivity or projectivity criterion in modules and model categories

Published on 18 Nov 2020 - 22:25

52

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Computing the number of projective-injective modules

Published on 26 Mar 2026 - 4:29

List Question

Quasi Injective Ring equivalence.

A question in verifying conditions of Zorn' s Lemma

How to verify this property of homomorphism

Does $M$-injectivity impy injectivity?

Quasi injective direct sum impy injectivity.

Why injectivity class doesn't imply weakly reflective

$\Lambda/\mathfrak{r}\cong \operatorname{soc}(\Lambda)$ as a criterion for self-injectivity

The dual for Abelian group on Q/Z

T.Y. Lam's divisible module definition and factor modules.

Proof that Divisible Modules are Injective over a PID

If $G=\bigoplus_i\Bbb Z/p_i^{n_i}\Bbb Z$, then for which integers $r\neq\pm 1$ is $G=Gr$?

Baer's criterion for injective modules

Prove that $f_a:M\to M,m\mapsto ma$ is an isomorphism whenever it injective iff there is nonzero linear map $f:Ε\to Μ$ with $Ε$ injective.

Injectivity or projectivity criterion in modules and model categories

Computing the number of projective-injective modules

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