Open AccessExtensions of Cline’s formula for some new generalized inverses
Author(s) -
Zhenying Wu,
Qingping Zeng
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2102477w
Subject(s) - mathematics , cline (biology) , drazin inverse , inverse , generalized inverse , associative property , pure mathematics , unital , combinatorics , algebra over a field , geometry , demography , population , sociology
Let a, b, c, d be elements in a unital associative ring R. In this note, we generalize Cline?s formula for some new generalized inverses such as strong Drazin inverse, generalized strong Drazin inverse, Hirano inverse and generalized Hirano inverse to the case when acd = dbd and dba = aca. As a particular case, some recent results are recovered.