Outer generalized inverses in rings and related idempotents

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2008Publisher:University of Debrecen/ Debreceni EgyetemJournal:Publicationes Mathematicae Debrecen, volume 73, pages 309-316 (issn: 0033-3883,

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Authors: Načevska, Biljana; Djordjević, Dragan S.;

doi: 10.5486/pmd.2008.4174

Outer generalized inverses in rings and related idempotents

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Abstract

Summary: We investigate outer generalized inverses of elements in rings, and related idempotents. Among other things, if \(a'aa'=a'\) and \(b'bb'=b'\), we consider the relations \(b'b=a'a+u\) and \(bb'=aa'+v\) for a suitable choice of \(u\) and \(v\).

Keywords

Units, groups of units (associative rings and algebras), perturbations, outer generalized inverses, idempotents, Theory of matrix inversion and generalized inverses

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