List questions from socle

Published on 05 Jun 2023 - 18:15

56

Views

Socle of a group and the Fitting subgroup of a solvable primitive group

Published on 02 Jul 2023 - 22:08

65

Views

The left socle and right socle of a semiprime ring coincide.

Published on 17 Jul 2023 - 17:25

66

Views

Calculation of the socle of $R$ for given algebra $R$

Published on 27 Oct 2023 - 5:18

75

Views

Non-abelian groups with trivial socle.

Published on 11 Mar 2024 - 14:34

26

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The socle of the holomorph of the simple group $A_{5}$

Published on 23 Feb 2026 - 0:29

750

Views

Socle of a ring $R$

Published on 01 Mar 2015 - 13:42

518

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Prove socle is ideal

Published on 17 Jul 2015 - 21:45

75

Views

Show that in ascending Loewy series, $S^r(R)=R$

Published on 21 Jul 2015 - 13:32

187

Views

(Reference Request) Socle of a module.

Published on 04 Oct 2015 - 21:33

504

Views

The property of a module that has a simple socle

Published on 01 Dec 2015 - 12:57

133

Views

Why there is an isomorphism $D(soc^{i}M) \cong DM/rad^{i}DM$

Published on 10 Dec 2015 - 9:45

246

Views

socle(M) being simple gives an upper bound for the dimension of End(M)?

Published on 08 Jan 2016 - 9:58

120

Views

Show that Soc($\bigoplus_{\alpha\in I}M_\alpha$)=$\bigoplus_{\alpha\in I}\text{Soc}(M_\alpha)$

Published on 29 Mar 2016 - 0:56

653

Views

the socle is semisimple

Published on 02 Jun 2016 - 0:21

List Question

Socle series and radical series have same length

Socle of a group and the Fitting subgroup of a solvable primitive group

The left socle and right socle of a semiprime ring coincide.

Calculation of the socle of $R$ for given algebra $R$

Non-abelian groups with trivial socle.

The socle of the holomorph of the simple group $A_{5}$

Socle of a ring $R$

Prove socle is ideal

Show that in ascending Loewy series, $S^r(R)=R$

(Reference Request) Socle of a module.

The property of a module that has a simple socle

Why there is an isomorphism $D(soc^{i}M) \cong DM/rad^{i}DM$

socle(M) being simple gives an upper bound for the dimension of End(M)?

Show that Soc($\bigoplus_{\alpha\in I}M_\alpha$)=$\bigoplus_{\alpha\in I}\text{Soc}(M_\alpha)$

the socle is semisimple

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