The extensions of weak McCoy rings

2014, Vol. 41

Issue (4): 376-380 DOI: 10.3785/j.issn.1008-9497.2014.04.003

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Received: 18 June 2013 Published: 01 April 2014

Cite this article:

WANG Yao，REN Yanli， LI Xiaowei. The extensions of weak McCoy rings. Journal of Zhejiang University (Science Edition), 2014, 41(4): 376-380.

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https://www.zjujournals.com/sci/EN/Y2014/V41/I4/376

弱McCoy环的扩张

讨论弱McCoy环与相关环的关系,研究环的多项式扩张和Ore扩张的弱McCoy性,证明了:(1)设R是右Ore环,则R是右弱McCoy环当且仅当R的典范右商环Q是右弱McCoy环;(2)如果R是(α,δ)compatible的可逆环,则R［x;α,δ］是右弱McCoy环.
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