Article ID Journal Published Year Pages File Type
4601669 Linear Algebra and its Applications 2011 9 Pages PDF
Abstract

We study generalized inverses on semigroups by means of Green’s relations. We first define the notion of inverse along an element and study its properties. Then we show that the classical generalized inverses (group inverse, Drazin inverse and Moore–Penrose inverse) belong to this class.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory