Right c-Group Inverses and Their Applications  

作　　者：Jun JIAO Liang ZHAO 

机构地区：[1]School of Mathematics and Physics,Anhui University of Technology,Anhui 243032,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2023年第1期59-73,共15页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.12161049).

摘　　要：We study a new class of group inverses determined by right c-regular elements.The new concept of right c-group inverses is introduced and studied.It is shown that every right c-group invertible element is group invertible,and an example is given to show that group invertible elements need not be right c-group invertible.The conditions that right c-group invertible elements are precisely group invertible elements are investigated.We also study the strongly clean decompositions of right c-group invertible elements.As applications,we give some new characterizations of abelian rings and directly finite rings from the point of view of right c-groupinverses.

关 键 词：right c-group inverse group inverse right c-regular elements strongly clean decomposition 

分 类 号：O15[理学—数学]