关于r-semiclean环(英文)  

ON r-SEMICLEAN RINGS

作　　者：宋贤梅[1] 梅玉霞[1] 

机构地区：[1]安徽师范大学数学系,安徽芜湖241000

出　　处：《数学杂志》2013年第4期609-616,共8页Journal of Mathematics

基　　金：Supported by NSFC(10571026);the Key NSF of Anhui Educational Committe(KJ2010A126)

摘　　要：本文定义了一种新的环r-semiclean环.环R称为r-semiclean的是指R中的每个元素都可以写成一个正则元和一个周期元的和.本文主要利用环论的方法研究了r-semiclean环的相关性质,推广了clean环和半-clean环的已知结果.In this paper, the notion of the new ring, i.e., a r-semiclean is defined. A ring R, each of whose element is the sum of a regular and a periodic element, is said to be r-semiclean. Some general properties of r-semiclean are investigated based on the theory of rings, which generalize some known results on clean rings and semiclean rings.

关 键 词：CLEAN环 半-clean环 r-semiclean环 

分 类 号：O153.3[理学—数学]