宿州学院学报2024，Vol.39Issue(3)：9-14,21,7.DOI:10.3969/j.issn.1673-2006.2024.03.003
NGR-clean环
NGR-clean Ring
王志强 1吴俊1
作者信息
- 1. 安徽师范大学数学与统计学院,安徽芜湖,241003
- 折叠
摘要
Abstract
If any element of a ring R can be represented as the sum of a(strong)π-regular element and a nilpotent element,then the ring R is said to be a(strong)NGR-clean ring.Some basic properties of the(strong)NGR-clean rings are given.It proves that if I is a nil ideal of a ring R,then the ring R is a NGR-clean ring if and only if R/I is a NGR-clean ring.In addition,the connection between(strong)NGR-clean rings and some ring classes,and se-veral expansions of(strong)NGR-clean rings are also studied.关键词
NR-clean环/π-正则环/NGR-clean环/强NGR-clean环Key words
NR-clean ring/π-regular ring/NGR-clean ring/Strong NGR-clean ring分类
数理科学引用本文复制引用
王志强,吴俊..NGR-clean环[J].宿州学院学报,2024,39(3):9-14,21,7.
