List questions from socle

Published on 08 Nov 2016 - 9:56

368

Views

Socle of a primitive permutation group

Published on 09 Nov 2016 - 17:42

592

Views

Question concerning cyclic modules and modules where the socle of $M$ is irreducible

Published on 18 Nov 2016 - 3:59

36

Views

Decomposition of right ideals

Published on 27 Dec 2016 - 15:40

223

Views

Direct product of socles

Published on 13 Jan 2017 - 6:51

74

Views

Searching for a certain local ring

Published on 15 Jan 2017 - 15:34

161

Views

socle of polynomial rings

Published on 28 Jan 2017 - 18:02

483

Views

Socle degree of Artinian ring

Published on 09 Feb 2017 - 14:28

194

Views

A prime ring whose socle is nonzero and of finite length is simple Artinian.

Published on 27 Feb 2017 - 2:50

204

Views

Is this proof that Soc(DM) = DTop(M) correct?

Published on 20 Mar 2017 - 23:36

456

Views

Whether a non-zero module can have a zero socle?

Published on 28 Mar 2017 - 8:02

100

Views

${\rm Soc}(G) $ simple implies $ G $ almost simple

Published on 17 Mar 2023 - 0:51

51

Views

When is the intersection of every non-zero ideal with socle again non-zero?

Published on 18 Mar 2023 - 23:50

123

Views

$\text{soc}(V)$ and $\text{rad}(V)$ of a representation $V$ of an acyclic quiver $Q$

Published on 26 May 2023 - 0:10

96

Views

If $M\cong N \oplus k^{\oplus a}$, where $a=\dim_k \dfrac{soc(M)}{soc(M)\cap \mathfrak m M }$, then $k$ is not a direct summand of $N$?

Published on 01 Jun 2023 - 8:35

List Question

A question about the socle of an algebra.

Socle of a primitive permutation group

Question concerning cyclic modules and modules where the socle of $M$ is irreducible

Decomposition of right ideals

Direct product of socles

Searching for a certain local ring

socle of polynomial rings

Socle degree of Artinian ring

A prime ring whose socle is nonzero and of finite length is simple Artinian.

Is this proof that Soc(DM) = DTop(M) correct?

Whether a non-zero module can have a zero socle?

${\rm Soc}(G) $ simple implies $ G $ almost simple

When is the intersection of every non-zero ideal with socle again non-zero?

$\text{soc}(V)$ and $\text{rad}(V)$ of a representation $V$ of an acyclic quiver $Q$

If $M\cong N \oplus k^{\oplus a}$, where $a=\dim_k \dfrac{soc(M)}{soc(M)\cap \mathfrak m M }$, then $k$ is not a direct summand of $N$?

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