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TitleElements of rings with equal spectral idempotents
Author(s)Patrício, Pedro
Koliha, J. J.
KeywordsAssociative ring
Drazin inverse
Moore-Penrose inverse
EP element
Issue date2002
PublisherAustralian Mathematical Society
JournalJournal of the Australian Mathematical Society
Citation"Journal of the Australian Mathematical Society. Series A". ISSN 0263-6115. 72:1 (2002) 137-152.
Abstract(s)In this paper we define and study a generalized Drazin inverse $x^D $ for ring elements $x$, and give a characterization of elements $a, b$ for which $aa^D = bb^D$. We apply our results to the study of EP elements of a ring with involution.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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