Invariance under outer inverses

dc.contributor.author	Hartwig, R. E.	por
dc.contributor.author	Patrício, Pedro	por
dc.date.accessioned	2018-04-23T15:14:58Z
dc.date.available	2018-04-23T15:14:58Z
dc.date.issued	2018
dc.date.updated	2018-03-27T15:42:38Z
dc.description.abstract	We shall use the minus partial order combined with Pierce’s decomposition to derive the class of outer inverses for idempotents, units and group invertible elements. Subsequently we show, for matrices over a field F, that the triplet BA^ C is invariant under all choices of outer inverses of A if and only if B= 0 or C= 0.	por
dc.description.publicationversion	info:eu-repo/semantics/publishedVersion	por
dc.description.sponsorship	FCT - Fundação para a Ciência e a Tecnologia (UID-MAT-00013/2013)	por
dc.distribution	international	por
dc.identifier.doi	10.1007/s00010-017-0524-5	por
dc.identifier.issn	0001-9054	por
dc.identifier.uri	https://hdl.handle.net/1822/54575
dc.language.iso	eng	por
dc.peerreviewed	yes	por
dc.publisher	Birkhäuser-Verlag	por
dc.relation	info:eu-repo/grantAgreement/FCT/5876/147370/PT	por
dc.rights	openAccess	por
dc.subject	Invariance	por
dc.subject	Outer inverses	por
dc.subject	Pierce decomposition	por
dc.subject	Regularity	por
dc.subject.wos	Science & Technology	por
dc.title	Invariance under outer inverses	por
dc.type	article
dspace.entity.type	Publication	en
oaire.citationEndPage	383	por
oaire.citationIssue	2	por
oaire.citationStartPage	375	por
oaire.citationVolume	92	por
sdum.export.identifier	4938
sdum.journal	Aequationes Mathematicae	por

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