关于clean环的几个注记  

Several notes for clean rings

作　　者：张君瑜[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2008年第6期24-25,28,共3页Journal of Northwest Normal University(Natural Science)

摘　　要：证明了拟clean环其实就是clean环;并且,clean环上的多项式环的一类商环是clean环.It is proved that quasi-clean rings are exactly clean rings.Furthermore,according to the existing conclusion that polynomial rings are never clean,the paper presents several special examples for factor rings of polynomial rings to be clean rings.

关 键 词：CLEAN环 拟正则元 拟clean环 多项式环 

分 类 号：O153.3[理学—数学]