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The (Quasi-)Baerness of Skew Group Ring and Fixed Ring
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Advances in Pure Mathematics·Volume 01 (2011)·Pages 363–366·Published 24 November 2011·DOI10.4236/apm.2011.16065
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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.
KeywordsBaer RingQuasi-Baer RingMorita Context RingSkew Group RingFixed RingSimple Ring
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