List questions from injective-module

Published on 26 Aug 2015 - 17:48

94

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A question about injective modules

Published on 03 Sep 2015 - 16:00

3.8k

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Injective resolutions of a complex

Published on 10 Sep 2015 - 8:36

162

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Injectivity of a Hom space

Published on 29 Sep 2015 - 14:52

199

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Proper essential extensions

Published on 04 Mar 2026 - 15:21

55

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Basic topology proof regarding injection being equal to intersection property for two subsets

Published on 16 Mar 2026 - 13:18

60

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Injectives realized as limits in some appropriate category

Published on 26 Mar 2026 - 5:27

393

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Direct sums of modules versus products

Published on 30 Oct 2015 - 18:51

78

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If $A$ and $B$ are summands of injective module $Q$ then $A+B$ is a sumand of $Q$.

Published on 09 Mar 2026 - 6:01

69

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For this function, is f is injective?

Published on 18 Nov 2015 - 6:34

142

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Show by an explicit example that the function $h$ given is not injective and is surjective

Published on 10 Mar 2026 - 6:12

1.7k

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Can you prove that over a division ring , every module is both projective and injective?

Published on 09 Mar 2026 - 21:42

137

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$\mathrm{Ann}(I \cap J) = \mathrm{Ann}(I) +\mathrm{Ann}(J)$ if $R$ is self-injective

Published on 02 Mar 2026 - 20:57

167

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Is it true that taking injective hull commutes with the tensor product?

Published on 21 Mar 2026 - 12:49

2.6k

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Prove that every $\mathbb{Z}/6\mathbb{Z}$-module is projective and injective. Find a $\mathbb{Z}/4\mathbb{Z}$-module that is neither.

Published on 24 Feb 2026 - 0:11

List Question

What is the injective envelope of a product of abelian groups?

A question about injective modules

Injective resolutions of a complex

Injectivity of a Hom space

Proper essential extensions

Basic topology proof regarding injection being equal to intersection property for two subsets

Injectives realized as limits in some appropriate category

Direct sums of modules versus products

If $A$ and $B$ are summands of injective module $Q$ then $A+B$ is a sumand of $Q$.

For this function, is f is injective?

Show by an explicit example that the function $h$ given is not injective and is surjective

Can you prove that over a division ring , every module is both projective and injective?

$\mathrm{Ann}(I \cap J) = \mathrm{Ann}(I) +\mathrm{Ann}(J)$ if $R$ is self-injective

Is it true that taking injective hull commutes with the tensor product?

Prove that every $\mathbb{Z}/6\mathbb{Z}$-module is projective and injective. Find a $\mathbb{Z}/4\mathbb{Z}$-module that is neither.

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