Some Properties on Baer PP and PS Rings |
Received:November 01, 2004 |
Key Words:
Baer ring PP ring PS ring Strong-Armendariz ring Ore extension.
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Fund Project:国家自然科学基金(10571153), 新世纪校杰出青年基金(04-0522) |
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Abstract: |
This paper gives some results on Strong-Armendariz rings and the Ore-extensions $R[x,x^{-1}; \alpha]$ of Bare, PP and PS rings. And the main two results are: (1) $R$ is a Bear (PP) ring if and only if $R[[x]]$ is a Baer (PP) ring; (2) If $R$ is an $\alpha$-rigid ring, then $R$ is a Baer (PP, PS) ring if and only if $R[x,x^{-1}; \alpha]$ is a Baer (PP, PS) ring. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2006.04.006 |
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