单边exchange环及其扩张  

One-sided exchange rings and their extensions

作　　者：郭莉琴[1] 任胜章[1] 何建伟[1] 邵海琴[1] 

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741001

出　　处：《山东大学学报（理学版）》2011年第4期70-74,共5页Journal of Shandong University(Natural Science)

基　　金：天水师范学院中青年教师科研资助项目(TSA020231)

摘　　要：对exchange环进行了推广,研究了单边exchange环。主要讨论了形式幂级数环,斜幂级数环和广义幂级数环的单边exchange性质。证明了在Abelian条件下,exchange环、单边exchange环、clean环是等价的。Exchange rings are generalized,and one-sided exchange rings are investigated.Some properties of one-sided exchange rings about formal power series ring,skew power series ring and generalized power series ring are discussed.Some equivalent characterizations of one-sided exchange rings are given under the condition of the Abelian ring.

关 键 词：EXCHANGE环 单边exchange环 形式幂级数环 斜幂级数环 广义幂级数环 

分 类 号：O153.3[理学—数学]