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The p.q.-Baer Property of Fixed Rings under Finite Group Action

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DOI: 10.4236/apm.2012.26059    4,746 Downloads   7,323 Views  
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A ring R is called right principally quasi-Baer (simply, right p.q.-Baer) if the right annihilator of every principal right ideal of R is generated by an idempotent. For a ring R, let G be a finite group of ring automorphisms of R. We denote the fixed ring of R under G by RG. In this work, we investigated the right p.q.-Baer property of fixed 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 we show that: 1) If R is G-p.q.-Baer, then RG is p.q.-Baer; 2) If R is p.q.-Baer, then RG are p.q.-Baer.

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The authors declare no conflicts of interest.

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L. Jin and H. Jin, "The p.q.-Baer Property of Fixed Rings under Finite Group Action," Advances in Pure Mathematics, Vol. 2 No. 6, 2012, pp. 397-400. doi: 10.4236/apm.2012.26059.


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