J-半Clean环  

On J-Semiclean Rings

作　　者：殷晓斌 徐莹莹 高汉鹏 YIN Xiao-bin;XU Ying-ying;GAO Han-peng(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241003,China)

机构地区：[1]安徽师范大学数学与统计学院,安徽芜湖241003

出　　处：《安徽师范大学学报（自然科学版）》2018年第5期415-419,共5页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金项目(11401009);安徽省自然科学基金资助项目(1408085QA01);2015年安徽师范大学研究生科研创新与实践资助项目(2015cxsj116)

摘　　要：引入了J-半clean环的概念。证明了J-半clean环是clean环。给出了J-半clean环的一些性质,考虑了J-半clean环的扩张。同时证明了J-半clean环是直有限的且有稳定度1。The concept of J-semiclean rings is introduced.It is proved that J-semiclean rings are clean.Some properties of J-semiclean rings are given and some extensions of J-semiclean rings are considered.It is proved that J-semiclean rings are directly finite and have stable range one.

关 键 词：强J-半clean环 弱J-半clean环 半clean环 J-半clean环 CLEAN环 

分 类 号：O153.3[理学—数学]