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右(左)拟α-可逆环

On right (left) quasi-α-reversible rings
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摘要 给出了右(左)拟α-可逆环的定义,讨论了右(左)拟α-可逆环与线性McCoy环、可逆环、α-刚性环、约化环、阿贝尔环以及弱α-Skew Armendariz环之间的关系.研究了右(左)拟α-可逆环的相关性质和基本扩张.推广了α-可逆环和α-刚性环的相关结论. This paper gives the definition of the right(left)quasi-α-reversible rings,and discusses the relationships between the class rings and linearly McCoy,reversible,α-rigid,reduced,Abelian and weakα-skew Armendariz rings.We investigate the related properties and some basic extensions of right(left)quasi-α-reversible rings.Several known results relating the toα-reversible rings andα-rigid rings can be obtained as corollaries of our results.
作者 魏杰 董珺
出处 《浙江大学学报(理学版)》 CAS CSCD 2014年第6期624-631,共8页 Journal of Zhejiang University(Science Edition)
基金 国家自然科学基金资助项目(11101197) 兰州工业学院科技计划项目(10K-11)
关键词 右(左)拟α-可逆环 可逆环 约化环 α-刚性环 弱α-Skew ARMENDARIZ环 right(left)quasi-α-reversible rings reversible rings reduced rings α-rigid rings weakα-skew Armendariz rings
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参考文献10

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