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The p.q.-Baer Property of Skew Group Rings under Finite Group Action*
Department of Mathematics, College of Sciences, Yanbian University, Yanji, China
Department of Mathematics, College of Sciences, Yanbian University, Yanji, China
- 1 Department of Mathematics, College of Sciences, Yanbian University, Yanji, China
- 2 Department of Mathematics, College of Sciences, Yanbian University, Yanji, China
Advances in Pure Mathematics·Volume 03 (2013)·Pages 666–669·Published 27 November 2013·DOI10.4236/apm.2013.38089
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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 .
Keywordsp.q.-Baer PropertySkew Group RingGroup Action
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