Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/64276

TitleCharacterizations for pseudo core inverses in a ring with involution
Author(s)Huihui Zhu
Patrício, Pedro
KeywordsPseudo core inverses
Drazin inverses
Moore-Penrose inverses
∗-DMP
Hybrid (b, c)-inverses
Double commutant property
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hybrid (b
c)-inverses
15A09
16U99
Issue date2019
PublisherTaylor and Francis
JournalLinear & Multilinear Algebra
Abstract(s)Let R be a unital -ring. In this paper, we give several characterizations for the pseudo core and dual pseudo core inverses of an element by units in R. Moreover, their relations with -DMP are obtained. As a special case, the existence criteria for EP elements (-DMP with index 1) are given. Then, the double commutant property of hybrid (b, c)-inverses is considered. Finally, the relations of the inverse along an element and the hybrid (b, c)-inverse, the (dual) pseudo core inverses and the hybrid (b, c)-inverse are investigated.
TypeArticle
URIhttp://hdl.handle.net/1822/64276
DOI10.1080/03081087.2018.1446506
ISSN0308-1087
e-ISSN1563-5139
Publisher versionhttps://www.tandfonline.com/doi/full/10.1080/03081087.2018.1446506
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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