Affiliation:
1. Department of Mathematics, Gettysburg College, Gettysburg, PA 17325, USA
Abstract
Given a group G acting on a ring R via α:G → Aut (R), one can construct the skew group ring R*αG. Skew group rings have been studied in depth, but necessary and sufficient conditions for the simplicity of a general skew group ring are not known. In this paper, such conditions are given for certain types of skew group rings, with an emphasis on Von Neumann regular skew group rings. Next the results of the first section are used to construct a class of simple skew group rings. In particular, we obtain a more efficient proof of the simplicity of a certain ring constructed by J. Trlifaj.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
6 articles.
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1. Bimodules in Group Graded Rings;Algebras and Representation Theory;2017-05-10
2. Inner actions of weak Hopf algebras;Journal of Algebra and Its Applications;2017-04-12
3. Outer Partial Actions and Partial Skew Group Rings;Canadian Journal of Mathematics;2015-10-01
4. Simple semigroup graded rings;Journal of Algebra and Its Applications;2015-04-24
5. Simplicity of Partial Skew Group Rings of Abelian Groups;Canadian Mathematical Bulletin;2014-09-01