A Generalization of Strongly Nil Clean Rings

查看全文 作　　者：Jian [1]Cui;Xiaobin [1]Yin

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

出　　处：《Algebra Colloquium》索引2018年第25卷第4期,共10页

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

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A Generalization of Strongly Nil Clean Rings

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