List questions from group-rings

28

Views

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

Published on 16 Oct 2014 - 13:29

31

Views

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

Published on 25 Oct 2014 - 17:41

112

Views

Definition of Adic-filtration

Published on 28 Oct 2014 - 15:30

44

Views

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 07 Nov 2014 - 5:22

356

Views

A finite-dimensional $K$-algebra?

Published on 26 Nov 2014 - 12:00

59

Views

Flat extensions of group rings

Published on 17 Oct 2019 - 0:09

171

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

Published on 24 Oct 2019 - 19:47

132

Views

Is it $G \lesssim RG$?

Published on 28 Oct 2019 - 19:25

346

Views

Group algebra of a quotient group

Published on 05 Nov 2019 - 5:33

56

Views

Quotient Rings of Polynomials

Published on 24 Nov 2019 - 15:29

58

Views

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

Published on 24 Nov 2019 - 19:13

72

Views

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

Published on 01 Dec 2019 - 15:14

31

Views

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

Published on 02 Dec 2019 - 20:48

240

Views

Power of Augmentation Ideals of Group Ring

Published on 04 Dec 2019 - 3:11

139

Views

Basis for Quotient Ring of Group Ring

Published on 04 Dec 2019 - 8:03

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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