List questions from group-rings

Published on 09 Jan 2014 - 10:05

215

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An invariant submodule of a projective module

Published on 16 Jan 2014 - 18:11

120

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Existence of nontrivial unit in $\mathbb{Q}[G]$, where $G$ is finite.

Published on 23 Jan 2014 - 1:29

597

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$\mathbb{C}[x,y\,|\,x^m=1,y^n=1]\cong\mathbb{C}[z\,|\,z^{mn}=1]$ as complex algebras?

Published on 24 Jan 2014 - 3:33

47

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Show that any $f \in \mathbb{Q}(\langle x \rangle)$ is associate to any $\overline{f} \in \mathbb{Q}[x]$

Published on 10 Apr 2017 - 15:39

76

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Semigroup algebra of an idempotent semigroup

Published on 15 Apr 2017 - 23:30

603

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Identify all units of the group ring $\mathbb{Q}(G)$ where $G$ is an infinite, cyclic group.

Published on 25 Apr 2017 - 22:13

98

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Help in understanding what is going on in $A[G]$

Published on 13 May 2017 - 20:18

78

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Simple notation question: What does $(kG)^\times$ mean? $k$ is a field and $G$ is a group

Published on 14 May 2017 - 11:52

406

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Generalized Formal Power Series Ring

Published on 23 May 2017 - 9:19

452

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Intuition behind restriction and extension of scalars of group rings

Published on 24 May 2017 - 13:38

1k

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Simple modules of the group algebra $kC_p$ over different fields $k$

Published on 25 May 2017 - 22:13

97

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Ring isomorphism for $k(G \oplus \mathbb Z )$ with $G$ torsion-free and abelian

Published on 26 Jun 2017 - 14:59

283

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Torsion-free abelian groups $G,H$ such that $k[G] \cong k[H]$ (as rings) for any field $k$

Published on 27 Jun 2017 - 14:07

262

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Fraction field of group ring of field over torsion-free abelian group

Published on 28 Jun 2017 - 3:28

List Question

Minimal counterexamples of the isomorphism problem for integral group rings

An invariant submodule of a projective module

Existence of nontrivial unit in $\mathbb{Q}[G]$, where $G$ is finite.

$\mathbb{C}[x,y\,|\,x^m=1,y^n=1]\cong\mathbb{C}[z\,|\,z^{mn}=1]$ as complex algebras?

Show that any $f \in \mathbb{Q}(\langle x \rangle)$ is associate to any $\overline{f} \in \mathbb{Q}[x]$

Semigroup algebra of an idempotent semigroup

Identify all units of the group ring $\mathbb{Q}(G)$ where $G$ is an infinite, cyclic group.

Help in understanding what is going on in $A[G]$

Simple notation question: What does $(kG)^\times$ mean? $k$ is a field and $G$ is a group

Generalized Formal Power Series Ring

Intuition behind restriction and extension of scalars of group rings

Simple modules of the group algebra $kC_p$ over different fields $k$

Ring isomorphism for $k(G \oplus \mathbb Z )$ with $G$ torsion-free and abelian

Torsion-free abelian groups $G,H$ such that $k[G] \cong k[H]$ (as rings) for any field $k$

Fraction field of group ring of field over torsion-free abelian group

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