TITLE:
The (Quasi-)Baerness of Skew Group Ring and Fixed Ring
AUTHORS:
Hailan Jin, Qinxue Zhao
KEYWORDS:
Baer Ring, Quasi-Baer Ring, Morita Context Ring, Skew Group Ring, Fixed Ring, Simple Ring
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.6,
November
24,
2011
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.