List questions from group-rings

Published on 12 Apr 2026 - 20:26

64

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$End_k(M ⊗_k K) \simeq K$

Published on 15 Apr 2026 - 0:15

90

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On the Wedderburn component of a group algebra.

Published on 14 Apr 2026 - 8:37

78

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Group ring $\mathbb{Z}G$ with special property on $G$

Published on 15 Apr 2026 - 9:38

29

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Preimage of a maximal ideal is maximal in free ring extensions

Published on 15 Apr 2026 - 18:47

84

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For which groups $G$ there is an integer $n$ with this property?

Published on 15 Apr 2026 - 1:40

44

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What is the monoid ring $K[(\Bbb{N}, \text{lcm})]$ isomorphic to?

Published on 14 Apr 2026 - 0:44

39

Views

Some calculation in $F_5[D_{30}]$.

Published on 10 May 2026 - 20:14

69

Views

What is the $\mathbb{F}_p$ dimension of $\mathbb{F}_p[G]$?

Published on 10 May 2026 - 19:38

263

Views

Every $K[G]$-module is torsionless?

Published on 15 Apr 2026 - 1:07

124

Views

Group ring zero divisor example.

Published on 15 Apr 2026 - 22:55

51

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Is there a way to determine when an abelian group $(M,+)$ admits a $R[G]$-module structure, where $R[G]$ is a group-ring.

Published on 15 Apr 2026 - 6:37

38

Views

Module structure on $\mathbb{Z}$ over the Groupring $\mathbb{Z}[G]$

Published on 09 Apr 2026 - 16:12

82

Views

Has anyone studied differential equations on $\mathbb{Z}F_n$ defined using Fox derivatives?

Published on 12 Apr 2026 - 0:10

166

Views

How "exotic" are non-local directly irreducible modular group algebras?

Published on 10 Apr 2026 - 0:10

List Question

Group Ring epimorphism.

$End_k(M ⊗_k K) \simeq K$

On the Wedderburn component of a group algebra.

Group ring $\mathbb{Z}G$ with special property on $G$

Preimage of a maximal ideal is maximal in free ring extensions

For which groups $G$ there is an integer $n$ with this property?

What is the monoid ring $K[(\Bbb{N}, \text{lcm})]$ isomorphic to?

Some calculation in $F_5[D_{30}]$.

What is the $\mathbb{F}_p$ dimension of $\mathbb{F}_p[G]$?

Every $K[G]$-module is torsionless?

Group ring zero divisor example.

Is there a way to determine when an abelian group $(M,+)$ admits a $R[G]$-module structure, where $R[G]$ is a group-ring.

Module structure on $\mathbb{Z}$ over the Groupring $\mathbb{Z}[G]$

Has anyone studied differential equations on $\mathbb{Z}F_n$ defined using Fox derivatives?

How "exotic" are non-local directly irreducible modular group algebras?

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