Generalized Cline's Formula and Jacobson's Lemma in a Ring  

作　　者：Huanyin Chen Marjan Sheibani 

机构地区：[1]School of Big Data,Fuzhou University of International Studies and Trade Fuzhou 350202,China [2]Farzanegan Campus,Semnan University,Semnan,Iran

出　　处：《Algebra Colloquium》2024年第3期407-416,共10页代数集刊（英文版）

基　　金：supported by the Natural Science Foundation of Zhejiang Province,China(No.LY21A010018).

摘　　要：We present a new generalized version of Cline's formula and Jacobson's lemma for g-Drazin inverses in a ring.These generalized results extend many known results,e.g.,Chen and Abdolyousefi[Generalized Jacobson's lemma in a Banach algebra,Comm.Algebra 49(2021)3263-3272],and Yan and Zeng[The generalized inverses of the products of two elements in a ring,Turkish J.Math.44(2020)1744-1756].

关 键 词：Cline's formula Jacobson's lemma generalized Drazin inverse Drazin inverse RING 

分 类 号：O15[理学—数学]