Relative (b, c)-Inverses with Respect to a Ring Endomorphism  

作　　者：Jun JIAO Wenxi LI 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4期433-446,共14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 the relative properties of(b,c)-inverses with respect to a ring endomorphism.A new class of generalized inverses namedα-(b,c)-inverse is introduced and studied in a more general setting.We show by giving an example that(b,c)-inverses behave quite differently fromα-(b,c)-inverses.The condition that anα-(b,c)-invertible element is precisely a(b,c)-invertible element is investigated.We also study the strongly clean decompositions forα-(b,c)-inverses.Some well-known results on(b,c)-inverses are extended and unified.

关 键 词：α-(b c)-inverse Cline’s formula Jacobson’s lemma strongly clean decomposition 

分 类 号：O151.21[理学—数学]