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.
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)
出处
《安徽师范大学学报（自然科学版）》
CAS
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)
