On generalized inverses and Green's relations

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dc.creatorMary, Xavier
dc.date2009-03-10
dc.date.accessioned2026-07-07T12:50:54Z
dc.date.available2026-07-07T12:50:54Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0903.1785
dc.identifierhttp://arxiv.org/abs/0903.1785
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222830
dc.subjectGroup Theory
dc.subjectFunctional Analysis
dc.subject15A09; 20M99
dc.titleOn generalized inverses and Green's relations
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