The (Quasi-)Baerness of Skew Group Ring and Fixed Ring

Hailan Jin, Qinxue Zhao

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DOI: 10.4236/apm.2011.16065                

Abstract

In this paper, the (quasi-)Baerness of skew group ring and fixed ring is investigated. The following two results are obtained: if R is a simple ring with identity and G an outer automorphism group, then R G is a Baer ring; if R is an Artinian simple ring with identity and G an outer automorphism group, then RG is a Baer ring. Moreover, by decomposing Morita Context ring and Morita Context Theory, we provided several conditions of Morita Context ring, which is formed of skew group ring and fixed ring, to be (quasi-)Baer ring.

Keywords

Baer Ring, Quasi-Baer Ring, Morita Context Ring, Skew Group Ring, Fixed Ring, Simple Ring

Conflicts of Interest

The authors declare no conflicts of interest.

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