2-诣零-clean环  

2-nil-clean rings

作　　者：陈蒋欢 王尧[1] 任艳丽[2] CHEN Jiang-huan;WANG Yao;REN Yan-li(School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,Jiangsu,China;School of Information Engineering,Nanjing Xiaozhuang University,Nanjing 211171,Jiangsu,China)

机构地区：[1]南京信息工程大学数学与统计学院,江苏南京210044 [2]南京晓庄学院信息工程学院,江苏南京211171

出　　处：《山东大学学报（理学版）》2022年第2期14-22,共9页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11571165);江苏省自然科学基金资助项目(BK20181406)。

摘　　要：引进2-诣零-clean环的概念。设R是一个环,如果R中的每个元素都是一个幂等元和两个幂零元的和,则称R是一个2-诣零-clean环。利用经典环论方法,研究了2-诣零-clean环的一些性质,以及它们与相关环之间的关系。The concept of 2-nil-clean rings is introduced. A ring R is called 2-nil-clean if every element in R is the sum of an idempotent and two nilpotents. Making use of the classical methods in ring theory, it is investigated that some properties of them and the relationship between 2-nil-clean rings and related rings.

关 键 词：CLEAN环 2-诣零-clean环 环扩张 

分 类 号：O153.3[理学—数学]