Medium J^(1/2)-clean环和Medium J^(1/2)-∗-clean环  

Medium J^(1/2)-clean rings and Medium J^(1/2)-∗-clean rings

作　　者：陶丹丹 殷晓斌 TAO Dan-dan;YIN Xiao-bin(School of Mathematics and Statistics,Anhui Normal University,Wuhu 241003,China)

机构地区：[1]安徽师范大学数学与统计学院,安徽芜湖241003

出　　处：《安徽师范大学学报（自然科学版）》2022年第6期534-544,共11页Journal of Anhui Normal University(Natural Science)

基　　金：安徽省自然科学基金项目(2008085MA06);安徽省高校优秀青年人才支持计划项目(gxyqZD2019009).

摘　　要：作为Medium*-clean环的推广,本文引入了Medium J^(1/2)-clean环和Medium J^(1/2)-∗-clean环的概念,研究了这两类环的基本性质和扩张性质,并考虑它们与一些特殊环之间的联系。As a generalization of strongly J-clean rings,this paper introduces the concepts of Medium J^(1/2)-clean rings and Medium J^(1/2)-∗-clean rings,studies the basic properties and extension properties of these two kinds of rings,and considers the relationship between them and some special rings.

关 键 词：Medium J^(1/2)-clean环 Medium J^(1/2)-∗-clean环 弱布尔环 唯一∗-clean环 

分 类 号：O153.3[理学—数学]