PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 65(79), pp. 107107 (1999) 

On commuting generalized inverses in semigroupsJovan D. Ke\v cki\'c and Svetozar Mili\'cFarmaceutski fakultet, Beograd, Yugoslavia and Prirodnomatemati\v cki fakultet, Novi Sad, YugoslaviaAbstract: Let $S$ be a semigroup and let $a\in S$. In this note we describe all possible commuting generalized inverses of $a$ (in the sense of Definitions 1 and 2). It turns out that the Drazin inverse of $a$ is the only generalized inverse of $a$ which commutes with $a$. Classification (MSC2000): 20M05 Full text of the article:
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