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

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DOI: 10.4236/apm.2011.16065    3,991 Downloads   8,219 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

H. Jin and Q. Zhao, "The (Quasi-)Baerness of Skew Group Ring and Fixed Ring," Advances in Pure Mathematics, Vol. 1 No. 6, 2011, pp. 363-366. doi: 10.4236/apm.2011.16065.

References

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