List questions from group-rings

Published on 25 Mar 2023 - 12:06

62

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$End_k(M ⊗_k K) \simeq K$

Published on 05 Apr 2023 - 18:38

87

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On the Wedderburn component of a group algebra.

Published on 12 Apr 2023 - 5:33

75

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

Published on 29 Apr 2023 - 10:05

26

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Preimage of a maximal ideal is maximal in free ring extensions

Published on 10 May 2023 - 8:37

81

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

Published on 16 May 2023 - 14:55

41

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

Published on 30 May 2023 - 23:40

36

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

Published on 25 Mar 2026 - 14:20

68

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

Published on 25 Mar 2026 - 11:15

260

Views

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

Published on 03 Sep 2023 - 11:39

121

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Group ring zero divisor example.

Published on 13 Oct 2023 - 1:43

48

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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 14 Oct 2023 - 3:45

35

Views

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

Published on 18 Oct 2023 - 15:14

79

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

Published on 11 Nov 2023 - 11:29

163

Views

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

Published on 21 Nov 2023 - 17:48

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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