The p.q.-Baer Property of Skew Group Rings under Finite Group Action*

Bo Li, Hailan Jin

Department of Mathematics, College of Sciences, Yanbian University, Yanji, China.

DOI: 10.4236/apm.2013.38089                

Abstract

In this paper, Let R is a ring, G be a finite group of ring automorphisms of R. R*G denote the skew group ring of R under G. We investigate the right p.q.-Baer property of skew group rings under finite group action, Assume that R is a semiprime ring with a finite group G of X-outer ring automorphisms of R, then 1) R*G is p.q.-Baer if and only if R is G-p.q.-Baer; 2) if R is p.q.-Baer, then R*G is p.q.-Baer.

Keywords

p.q.-Baer Property; Skew Group Ring; Group Action

Conflicts of Interest

The authors declare no conflicts of interest.

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