List questions from socle

Published on 27 Mar 2026 - 16:14

370

Views

Socle of a primitive permutation group

Published on 27 Mar 2026 - 11:13

593

Views

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

Published on 23 Feb 2026 - 4:00

38

Views

Decomposition of right ideals

Published on 27 Mar 2026 - 0:20

225

Views

Direct product of socles

Published on 26 Mar 2026 - 17:24

76

Views

Searching for a certain local ring

Published on 27 Mar 2026 - 1:35

163

Views

socle of polynomial rings

Published on 27 Mar 2026 - 0:00

485

Views

Socle degree of Artinian ring

Published on 27 Mar 2026 - 2:08

195

Views

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

Published on 23 Feb 2026 - 4:00

205

Views

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

Published on 23 Feb 2026 - 3:57

457

Views

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

Published on 23 Feb 2026 - 3:55

101

Views

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

Published on 23 Feb 2026 - 4:03

52

Views

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

Published on 23 Feb 2026 - 3:58

124

Views

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

Published on 23 Feb 2026 - 4:03

97

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 23 Feb 2026 - 4:03

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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