EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 65(79), pp. 107--107 (1999)

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On commuting generalized inverses in semigroups

Jovan D. Ke\v cki\'c and Svetozar Mili\'c

Farmaceutski fakultet, Beograd, Yugoslavia and Prirodno-matemati\v cki fakultet, Novi Sad, Yugoslavia

Abstract: 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

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 7 Dec 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
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