右(左)拟α-可逆环

On right (left) quasi-α-reversible rings

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.