Strongly Drazin inverse in rings
Huan in Chen, Seyed Saeed Nabavi, Marjan Sheibani · Operators and Matrices · 2019
An element a R has strongly Drazin inverse if there exists a R such that aa = a a,a = a aa and aaa R is nilpotent, i.e., a is strongly nil-clean. Additive results for strongly Drazin inverse in a ring are presented. The explicit formulas for such generalized inverse of a + b are given. These extend the results on s-Drazin and Drazin inverses of Wang (Filomat, 31(