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Moore-Penrose invertibility in involutory rings: the case aa+=bb+

Bibliographic Details
Main Author: Patrício, Pedro
Publication Date: 2010
Other Authors: Araújo, C. Mendes
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/1822/11265
Summary: In this article, we consider Moore-Penrose invertibility in rings with a general involution. Given two von Neumann regular elements a, b in a general ring with an arbitrary involution, we aim to give necessary and sufficient conditions to aa† = bb†. As a special case, EP elements are considered.
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spelling Moore-Penrose invertibility in involutory rings: the case aa+=bb+Moore-Penrose inverse*-regular ringsScience & TechnologyIn this article, we consider Moore-Penrose invertibility in rings with a general involution. Given two von Neumann regular elements a, b in a general ring with an arbitrary involution, we aim to give necessary and sufficient conditions to aa† = bb†. As a special case, EP elements are considered.Fundação para a Ciência e a Tecnologia (FCT)POCTITaylor and FrancisUniversidade do MinhoPatrício, PedroAraújo, C. Mendes2010-052010-05-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/11265eng"Linear and Multilinear Algebra". ISSN 0308-1087. 58:3-4 (2010) 445-452.0308-108710.1080/03081080802652279http://www.tandf.co.uk/journals/journal.asp?issn=0308-1087&linktype=2info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T05:47:11Zoai:repositorium.sdum.uminho.pt:1822/11265Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:30:08.903148Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Moore-Penrose invertibility in involutory rings: the case aa+=bb+
title Moore-Penrose invertibility in involutory rings: the case aa+=bb+
spellingShingle Moore-Penrose invertibility in involutory rings: the case aa+=bb+
Patrício, Pedro
Moore-Penrose inverse
*-regular rings
Science & Technology
title_short Moore-Penrose invertibility in involutory rings: the case aa+=bb+
title_full Moore-Penrose invertibility in involutory rings: the case aa+=bb+
title_fullStr Moore-Penrose invertibility in involutory rings: the case aa+=bb+
title_full_unstemmed Moore-Penrose invertibility in involutory rings: the case aa+=bb+
title_sort Moore-Penrose invertibility in involutory rings: the case aa+=bb+
author Patrício, Pedro
author_facet Patrício, Pedro
Araújo, C. Mendes
author_role author
author2 Araújo, C. Mendes
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Patrício, Pedro
Araújo, C. Mendes
dc.subject.por.fl_str_mv Moore-Penrose inverse
*-regular rings
Science & Technology
topic Moore-Penrose inverse
*-regular rings
Science & Technology
description In this article, we consider Moore-Penrose invertibility in rings with a general involution. Given two von Neumann regular elements a, b in a general ring with an arbitrary involution, we aim to give necessary and sufficient conditions to aa† = bb†. As a special case, EP elements are considered.
publishDate 2010
dc.date.none.fl_str_mv 2010-05
2010-05-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/11265
url http://hdl.handle.net/1822/11265
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Linear and Multilinear Algebra". ISSN 0308-1087. 58:3-4 (2010) 445-452.
0308-1087
10.1080/03081080802652279
http://www.tandf.co.uk/journals/journal.asp?issn=0308-1087&linktype=2
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Taylor and Francis
publisher.none.fl_str_mv Taylor and Francis
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833595354293993472

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