强α-可逆环的推广  

On a generalization of strongly α-revesible rings

作　　者：魏杰[1] 董珺[1] 

机构地区：[1]兰州工业学院基础学科部,甘肃兰州730050

出　　处：《山东大学学报（理学版）》2015年第3期88-94,共7页Journal of Shandong University(Natural Science)

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)

摘　　要：引入了比强α-可逆环更广的两类环:强(M-)α-自反环,并研究了它们的性质。证明了强α-自反环是强α-可逆环的真推广。讨论了强(M-)α-自反环的扩张,得到了它们的一些性质。The notions of strongly（ M-） α-reflexive rings are introduced which are a general version of stronglyα-revesible rings,and investigate their properties. It is showthat strongly α-revesible rings are strongly α-reflexive rings,but the converse is not true. And argue about the strongly（ M-） α-reflexivity of some kinds of extensions. A number of properties of these versions are established.

关 键 词：约化环 (强)α-可逆环 (强)α-自反环 强M-α-自反环 

分 类 号：O153.3[理学—数学]