List questions from injective-module

Published on 06 May 2014 - 10:43

344

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Analogue of Baer criterion for testing projectiveness of modules

Published on 10 May 2014 - 19:51

276

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Localization of Gorenstein ring

Published on 20 Mar 2026 - 2:13

350

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Injective resolution for an integral domain

Published on 20 May 2014 - 15:05

369

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Injective modules in a short exact sequence

Published on 20 May 2014 - 15:14

238

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Comparing injective dimensions in a short exact sequence

Published on 20 May 2014 - 19:19

179

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Finite projective dimension may lead to projectiveness!

Published on 26 May 2014 - 21:17

1.8k

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Injective dimension of $\mathbb Z_n$ as a $\mathbb Z$-module

Published on 30 May 2014 - 14:42

750

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Examples of Noetherian local rings which are not Gorenstein

Published on 25 Mar 2026 - 17:55

196

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$Q(\mathbb{Z}[t]) / \mathbb{Z}[t]$ is not injective

Published on 05 Jun 2014 - 18:41

1k

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Integral domain with a finitely generated non-zero injective module is a field

Published on 09 Jun 2014 - 10:29

735

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What is the injective envelope of $\mathbb{Z}/n\mathbb{Z}$?

Published on 07 Jul 2014 - 16:22

1k

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Projective modules over $kG$ equivalent to injective.

Published on 25 Mar 2026 - 10:52

79

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R is a PID, and a is a nonzero nonunit in R. How can we show R/Ra is an injective module over R?

Published on 21 Jul 2014 - 13:58

194

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$\Gamma_{\mathfrak a}(I)$ is an injective $R$-module for every injective $R$-module $I$

Published on 25 Mar 2026 - 7:43

List Question

Do these facts about $\mathbb{Q}/\mathbb{Z}$ generalize to more general cases?

Analogue of Baer criterion for testing projectiveness of modules

Localization of Gorenstein ring

Injective resolution for an integral domain

Injective modules in a short exact sequence

Comparing injective dimensions in a short exact sequence

Finite projective dimension may lead to projectiveness!

Injective dimension of $\mathbb Z_n$ as a $\mathbb Z$-module

Examples of Noetherian local rings which are not Gorenstein

$Q(\mathbb{Z}[t]) / \mathbb{Z}[t]$ is not injective

Integral domain with a finitely generated non-zero injective module is a field

What is the injective envelope of $\mathbb{Z}/n\mathbb{Z}$?

Projective modules over $kG$ equivalent to injective.

R is a PID, and a is a nonzero nonunit in R. How can we show R/Ra is an injective module over R?

$\Gamma_{\mathfrak a}(I)$ is an injective $R$-module for every injective $R$-module $I$

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