List questions from group-rings

31

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Let $M,N$ be isomorphic as $\mathbf{Z}[G]$-mods, are they isomorphic as $\mathbf{Z}[H]$-mods, where $H<G$

Published on 15 Apr 2026 - 0:05

34

Views

Is this map $\mathbf{Z}$-bilinear?

Published on 11 Apr 2026 - 23:21

116

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Definition of Adic-filtration

Published on 10 May 2026 - 13:59

47

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Is this problem still open:If G is a torsion free group and F is a field then group ring F[G] is an intergral domain.?

Published on 14 Apr 2026 - 20:24

359

Views

A finite-dimensional $K$-algebra?

Published on 13 Apr 2026 - 21:12

63

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Flat extensions of group rings

Published on 10 May 2026 - 14:16

174

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Irreducibles in $\mathbb{Z}[\sqrt{-5}]$

Published on 10 Apr 2026 - 21:38

136

Views

Is it $G \lesssim RG$?

Published on 10 May 2026 - 19:01

349

Views

Group algebra of a quotient group

Published on 13 Apr 2026 - 15:17

58

Views

Quotient Rings of Polynomials

Published on 14 Apr 2026 - 11:15

59

Views

Show that group ring QG is isomorphic to Q(e3)xQ.

Published on 25 Mar 2026 - 9:37

75

Views

Are $3\mathbb {Z}$ and $9\mathbb {Z}$ ring isomorphic?

Published on 08 Apr 2026 - 19:07

34

Views

Why $\mathbb{Q}\mathbb{Z}_3 \cong \mathbb{Q(\varepsilon_3)} \times \mathbb{Q}$ as rings (or even algebras)?

Published on 20 Apr 2026 - 6:45

243

Views

Power of Augmentation Ideals of Group Ring

Published on 13 Apr 2026 - 19:01

142

Views

Basis for Quotient Ring of Group Ring

Published on 14 Apr 2026 - 1:23

List Question

Let $M,N$ be isomorphic as $\mathbf{Z}[G]$-mods, are they isomorphic as $\mathbf{Z}[H]$-mods, where $H<G$

Is this map $\mathbf{Z}$-bilinear?

Definition of Adic-filtration

Is this problem still open:If G is a torsion free group and F is a field then group ring F[G] is an intergral domain.?

A finite-dimensional $K$-algebra?

Flat extensions of group rings

Irreducibles in $\mathbb{Z}[\sqrt{-5}]$

Is it $G \lesssim RG$?

Group algebra of a quotient group

Quotient Rings of Polynomials

Show that group ring QG is isomorphic to Q(e3)xQ.

Are $3\mathbb {Z}$ and $9\mathbb {Z}$ ring isomorphic?

Why $\mathbb{Q}\mathbb{Z}_3 \cong \mathbb{Q(\varepsilon_3)} \times \mathbb{Q}$ as rings (or even algebras)?

Power of Augmentation Ideals of Group Ring

Basis for Quotient Ring of Group Ring

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