A Generalization of Strongly Nil Clean Rings  

作　　者：Jian Cui Xiaobin Yin 

机构地区：[1]Department of Mathematics,Anhui Normal University,Wuhu,Anhui 241002,China

出　　处：《Algebra Colloquium》2018年第4期585-594,共10页代数集刊（英文版）

基　　金：the National Natural Science Foundation of China (No.11401009);the Key Natural Science Foundation of Anhui Educational Committee (No.KJ2014A082);the Anhui Provincial Natural Science Foundation (No.1408085QA01).

摘　　要：Generalizing the notion of strongly nil clean rings,we introduce strongly quasinil clean rings.Some fundamental properties and equivalent characterizations of this class of rings are provided.By means of g-Drazin inverses,Cline's formula and Jacobson's lemma for strongly quasi-nil clean elements are investigated.

关 键 词：STRONGLY quasi-nil CLEAN RING STRONGLY NIL CLEAN RING STRONGLY CLEAN RING g-Drazin inverse 

分 类 号：O1[理学—数学]