Clean一般环的几个结果  

Some Results on Clean General Rings

作　　者：崔书英[1] 陈卫星[1] 

机构地区：[1]山东工商学院数学与信息科学学院,烟台264005

出　　处：《大学数学》2008年第1期66-69,共4页College Mathematics

摘　　要：证明了一般环I是Clean一般环当且仅当I上的形式幂级数一般环I[[x]]是Clean一般环;一般环I上的多项式环I[x]是Clean一般环当且仅当I是诣零的.引入了强Clean一般环的概念,它是强Clean环的推广.并证明了强π-正则的一般环是强Clean一般环.It is proved that a general ring I is clean if and only if so is I[[x]] and that I[x] is a clean general ring if and only if I is a nil general ring. The notion of a strongly clean general ring is introduced and it is proved that a strongly n-regular general ring is a strongly clean general ring.

关 键 词：强矿正则环 CLEAN环 替换环 

分 类 号：O153.3[理学—数学]