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TitleGeneralized inverses of a sum in rings
Author(s)Castro-González, N.
Araújo, C. Mendes
Patrício, Pedro
KeywordsRegular element
Reflexive inverse
Drazin index
Drazin inverse
EP elements
Issue date2010
PublisherCambridge University Press
JournalBulletin of the Australian Mathematical Society
Abstract(s)We study properties of the Drazin index of regular elements in a ring with a unity 1. We give expressions for generalized inverses of 1 − ba in terms of generalized inverses of 1 − ab. In our development we prove that the Drazin index of 1 − ba is equal to the Drazin index of 1 − ab.
DescriptionDocumento submetido para revisão pelos pares. A publicar em "Bulletin of the Australian Mathematical Society". ISSN 0004-9727. 82:1 (2010) 156-164.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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