TITLE:
The p.q.-Baer Property of Skew Group Rings under Finite Group Action*
AUTHORS:
Bo Li, Hailan Jin
KEYWORDS:
p.q.-Baer Property; Skew Group Ring; Group Action
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.8,
November
27,
2013
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.