On generalized inverses and Green’s relations
Copyright policy )On generalized inverses and Green’s relations
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.
- University of Paris France
- Paris Nanterre University France
- French National Centre for Scientific Research France
- University of Paris France
Numerical Analysis, 15A09; 20M99, Algebra and Number Theory, 20M99, 15A09, Semigroup, Group Theory (math.GR), Functional Analysis (math.FA), Mathematics - Functional Analysis, Green’s relations, FOS: Mathematics, Discrete Mathematics and Combinatorics, Generalized inverse, Geometry and Topology, Mathematics - Group Theory, [MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR]
Numerical Analysis, 15A09; 20M99, Algebra and Number Theory, 20M99, 15A09, Semigroup, Group Theory (math.GR), Functional Analysis (math.FA), Mathematics - Functional Analysis, Green’s relations, FOS: Mathematics, Discrete Mathematics and Combinatorics, Generalized inverse, Geometry and Topology, Mathematics - Group Theory, [MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR]
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