Characterizations of m-EP elements in rings

Bibliographic Details
Main Author: Honglin Zou
Publication Date: 2018
Other Authors: Jianlong Chen, Patrício, Pedro
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/1822/64198
Summary: Let R be a ring with involution. In this paper, we extend the notions of m-EP matrices and m-EP operators to an arbitrary ring case. A number of new characterizations of m-EP elements in rings are presented. In particular, the existence criteria for 1-EP (i.e. EP) elements are obtained by means of the group inverse, Moore-Penrose inverse, and core inverse. Some properties of 2-EP are also given.
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spelling Characterizations of m-EP elements in ringsm-EPDrazin inverseMoore-Penrose inverseCore inverseRingCiências Naturais::MatemáticasScience & TechnologyLet R be a ring with involution. In this paper, we extend the notions of m-EP matrices and m-EP operators to an arbitrary ring case. A number of new characterizations of m-EP elements in rings are presented. In particular, the existence criteria for 1-EP (i.e. EP) elements are obtained by means of the group inverse, Moore-Penrose inverse, and core inverse. Some properties of 2-EP are also given.This research was supported by the National Natural Science Foundation of China (No. 11371089), the Natural Science Foundation of Jiangsu Province (No. BK20141327), the Fundamental Research Funds for the Central Universities and the Foundation of Graduate Innovation Program of Jiangsu Province (No. KYZZ15-0049), the FEDER Funds through “Programa Operacional Factores de Competitividade-COMPETE”, the Portuguese Funds through FCT-“Fundação para a Ciência e a Tecnologia”, within the project UID-MAT-00013/2013.Taylor & FrancisUniversidade do MinhoHonglin ZouJianlong ChenPatrício, Pedro20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/64198eng0308-10871563-513910.1080/03081087.2017.1347136info: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:RCAAP2024-05-11T04:59:59Zoai:repositorium.sdum.uminho.pt:1822/64198Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:05:02.140159Repositórios 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 Characterizations of m-EP elements in rings
title Characterizations of m-EP elements in rings
spellingShingle Characterizations of m-EP elements in rings
Honglin Zou
m-EP
Drazin inverse
Moore-Penrose inverse
Core inverse
Ring
Ciências Naturais::Matemáticas
Science & Technology
title_short Characterizations of m-EP elements in rings
title_full Characterizations of m-EP elements in rings
title_fullStr Characterizations of m-EP elements in rings
title_full_unstemmed Characterizations of m-EP elements in rings
title_sort Characterizations of m-EP elements in rings
author Honglin Zou
author_facet Honglin Zou
Jianlong Chen
Patrício, Pedro
author_role author
author2 Jianlong Chen
Patrício, Pedro
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Honglin Zou
Jianlong Chen
Patrício, Pedro
dc.subject.por.fl_str_mv m-EP
Drazin inverse
Moore-Penrose inverse
Core inverse
Ring
Ciências Naturais::Matemáticas
Science & Technology
topic m-EP
Drazin inverse
Moore-Penrose inverse
Core inverse
Ring
Ciências Naturais::Matemáticas
Science & Technology
description Let R be a ring with involution. In this paper, we extend the notions of m-EP matrices and m-EP operators to an arbitrary ring case. A number of new characterizations of m-EP elements in rings are presented. In particular, the existence criteria for 1-EP (i.e. EP) elements are obtained by means of the group inverse, Moore-Penrose inverse, and core inverse. Some properties of 2-EP are also given.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01T00:00:00Z
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/1822/64198
url http://hdl.handle.net/1822/64198
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0308-1087
1563-5139
10.1080/03081087.2017.1347136
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 & Francis
publisher.none.fl_str_mv Taylor & 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_ 1833595088651943936

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