Author:
Broche Cristo Osnel,Polcino Milies César
Abstract
AbstractLet $R$ be a commutative ring with unity and let $G$ be a group. The group ring $RG$ has a natural involution that maps each element $g\in G$ to its inverse. We denote by $RG^-$ the set of skew symmetric elements under this involution. We study necessary and sufficient conditions for $RG^-$ to be commutative.
Publisher
Cambridge University Press (CUP)
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Skew-symmetric elements of rational group algebras;Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2020-04-06
2. Oriented group involutions in group algebras: a survey;São Paulo Journal of Mathematical Sciences;2015-12-15
3. Skew-symmetric Elements in Nonlinear Involutions in Group Rings;Algebra Colloquium;2015-04-15
4. On the Lie algebra of skew-symmetric elements of an enveloping algebra;Journal of Pure and Applied Algebra;2011-01
5. ANTISYMMETRIC ELEMENTS IN GROUP RINGS II;Journal of Algebra and Its Applications;2009-02