单边exchange环及其扩张

J4 ›› 2011, Vol. 46 ›› Issue (4): 70-74.

单边exchange环及其扩张

郭莉琴,任胜章,何建伟,邵海琴

天水师范学院数学与统计学院, 甘肃天水 741001

收稿日期:2010-06-21 发布日期:2011-04-21
作者简介:郭莉琴 (1977- ),女,硕士,讲师,研究方向为环与代数. Email: guoliqin335@126.com
基金资助:
天水师范学院中青年教师科研资助项目(TSA020231)

One-sided exchange rings and their extensions

GUO Li-qin, REN Sheng-zhang, HE Jian-wei, SHAO Hai-qin

School of Mathematics and Statistics,Tianshui Normal University, Tianshui 741001, Gansu, China

Received:2010-06-21 Published:2011-04-21

摘要/Abstract

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。

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

Abstract:

Exchange rings are generalized, and one-sided exchange rings are investigated. It is discussed that some properties of one-sided exchange rings about formal power series ring, skew power series ring and generalized power series ring. Some equivalent characterizations of one-sided exchange rings are given under the condition of Abelian ring.

Key words: exchange ring; one-sided exchange ring; formal power series ring; skew power series ring; generalized power series ring

郭莉琴,任胜章,何建伟,邵海琴. 单边exchange环及其扩张[J]. J4, 2011, 46(4): 70-74.

GUO Li-qin, REN Sheng-zhang, HE Jian-wei, SHAO Hai-qin. One-sided exchange rings and their extensions[J]. J4, 2011, 46(4): 70-74.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed