List questions from socle

Published on 26 Mar 2018 - 18:31

141

Views

Decomposition of socle of a ring

Published on 27 Mar 2018 - 2:49

991

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The radical and socle series of a module and its dual

Published on 17 May 2018 - 3:51

84

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A $\mathfrak{sl}_2(\mathbb{C})$-module $M$ is torsion free iff $\text{soc}(M)$ is torsion-free

Published on 02 Aug 2018 - 7:21

1k

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Definition of socle of a module

Published on 07 Aug 2018 - 12:44

367

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Socle of a direct product of finite groups.

Published on 04 Oct 2018 - 13:08

123

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Infinite socle series

Published on 30 Mar 2019 - 20:27

218

Views

Confusion over Socle

Published on 02 Apr 2019 - 20:42

279

Views

Socle of representations of Klein Four group over $\mathbb{F}_2$

Published on 26 Jun 2019 - 18:32

381

Views

Showing the socle of a module exists and is unique

Published on 19 Nov 2014 - 21:02

421

Views

Socle of submodule relative to the module

Published on 20 Nov 2014 - 19:02

518

Views

Canonical Module and Socle of an Artinian $k$-Algebra

Published on 24 Dec 2014 - 19:51

111

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socle and essential extension of finitely generated mod over an artin algebra

Published on 08 Nov 2019 - 16:19

347

Views

Socle length via semisimple filtration

Published on 05 Apr 2020 - 4:29

101

Views

Must $\operatorname{Soc}(R)^2 =\operatorname{Soc}(R)^3$ (for a ring $R$)?

Published on 13 Apr 2020 - 18:52

List Question

Determine $Soc(R_R)$ for $R =\left(\begin{smallmatrix} K & K \\ 0 & K \end{smallmatrix}\right)$

Decomposition of socle of a ring

The radical and socle series of a module and its dual

A $\mathfrak{sl}_2(\mathbb{C})$-module $M$ is torsion free iff $\text{soc}(M)$ is torsion-free

Definition of socle of a module

Socle of a direct product of finite groups.

Infinite socle series

Confusion over Socle

Socle of representations of Klein Four group over $\mathbb{F}_2$

Showing the socle of a module exists and is unique

Socle of submodule relative to the module

Canonical Module and Socle of an Artinian $k$-Algebra

socle and essential extension of finitely generated mod over an artin algebra

Socle length via semisimple filtration

Must $\operatorname{Soc}(R)^2 =\operatorname{Soc}(R)^3$ (for a ring $R$)?

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