惟一强*-clean环  

Uniquely strongly *-clean rings

作　　者：王秀兰[1] 李春娜[2] 

机构地区：[1]天津农学院基础科学学院,天津300384 [2]浙江工业大学之江学院理学院,浙江杭州310024

出　　处：《湖北大学学报（自然科学版）》2016年第3期182-186,266,共6页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金数学天元基金(11426200)资助

摘　　要：*-环R被称为惟一强*-clean环,如果R中每个元素都可以惟一表示成可交换的单位和投射的和.本文中给出一个*-环是惟一强*-clean环的等价条件并给出几个惟一强*-clean环的例子.A ＊-ring R is uniquely strongly ＊-clean if every element of R is uniquely the sum of a unit and a projection that commute with each other. In this article,we study the equivalent conditions of a ＊-ring being uniquely strongly ＊-clean. Moreover,some examples of uniquely strongly ＊-clean rings are also constructed.

关 键 词：惟一＊-exchange环 强＊-clean环 惟一强＊-clean环 

分 类 号：O153[理学—数学]