List questions from injective-module

Published on 22 Mar 2026 - 19:26

119

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Proving this map is injective

Published on 25 Mar 2026 - 4:35

55

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Is the (truncated) Witt ring an injective module over itself?

Published on 31 Oct 2018 - 12:33

145

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If P is a Projective R Module and Q is an Injective R module then $P \otimes_{R} Q$ is Injective

Published on 16 Nov 2018 - 18:15

605

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Embedding $\mathbb{Z}$-modules into injective $\mathbb{Z}$-modules

Published on 18 Nov 2018 - 14:50

43

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Constructing injection into injective group

Published on 22 Mar 2026 - 9:40

60

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Dimensional Vector spoace with injective surjective and bijective

Published on 19 Jan 2019 - 12:31

267

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A kind of horseshoe lemma on the injective resolution

Published on 25 Jan 2019 - 20:58

1000

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Let $R$ be an integral domain with a field of fractions $F$. Show that if $M$ is a $R$-module, then ...

Published on 27 Jan 2019 - 8:10

68

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Theorem on Injective Dimension in Weibel's "An Introduction to Homological Algebra"

Published on 25 Mar 2026 - 3:03

177

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In R-Mod, all monomorphisms are equalizers

Published on 25 Mar 2026 - 4:35

413

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Enough injectives in the category of torsion abelian groups

Published on 22 Mar 2026 - 19:55

105

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Any $f': A \to \mathrm{Hom}_{\mathbb{Z}}(R,M)$ can be lifted to $F': B \to \mathrm{Hom}_{\mathbb{Z}}(R,M)$

Published on 25 Apr 2019 - 9:50

129

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Exercise about injective modules in Lang's Algebra

Published on 12 May 2019 - 10:26

65

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Torsion-less module over commutative ring whose injective hull is Hopfian

Published on 15 May 2019 - 23:21

List Question

Enough injectives in the category of chain complexes

Proving this map is injective

Is the (truncated) Witt ring an injective module over itself?

If P is a Projective R Module and Q is an Injective R module then $P \otimes_{R} Q$ is Injective

Embedding $\mathbb{Z}$-modules into injective $\mathbb{Z}$-modules

Constructing injection into injective group

Dimensional Vector spoace with injective surjective and bijective

A kind of horseshoe lemma on the injective resolution

Let $R$ be an integral domain with a field of fractions $F$. Show that if $M$ is a $R$-module, then ...

Theorem on Injective Dimension in Weibel's "An Introduction to Homological Algebra"

In R-Mod, all monomorphisms are equalizers

Enough injectives in the category of torsion abelian groups

Any $f': A \to \mathrm{Hom}_{\mathbb{Z}}(R,M)$ can be lifted to $F': B \to \mathrm{Hom}_{\mathbb{Z}}(R,M)$

Exercise about injective modules in Lang's Algebra

Torsion-less module over commutative ring whose injective hull is Hopfian

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