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