Reverse order law for the inverse along an element

Detalhes bibliográficos
Autor(a) principal: Huihui Zhu
Data de Publicação: 2017
Outros Autores: Jianlong Chen, Patrício, Pedro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/50138
Resumo: In this paper, we introduce a new concept called left (right) g-MP inverse in a *-monoid. The relations of this type of generalized inverse with left inverse along an element are investigated. Also, the reverse order law for the inverse along an element is studied. Then, the existence criteria and formulae of the inverse of the product of triple elements along an element are investigated in a monoid. Finally, we further study left and right g-MP inverses, the inverse along an element in the context of rings.
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spelling Reverse order law for the inverse along an elementLeft, rightGreen’s preordersReverse order lawInverses along an elementRingsSemigroups(Left, right) inverses along an element(Leftright) inverses along an elementScience & TechnologyIn this paper, we introduce a new concept called left (right) g-MP inverse in a *-monoid. The relations of this type of generalized inverse with left inverse along an element are investigated. Also, the reverse order law for the inverse along an element is studied. Then, the existence criteria and formulae of the inverse of the product of triple elements along an element are investigated in a monoid. Finally, we further study left and right g-MP inverses, the inverse along an element in the context of rings.- This research is supported by the National Natural Science Foundation of China [No. 11371089]; the Specialized Research Fund for the Doctoral Program of Higher Education [No. 20120092110020]; the Natural Science Foundation of Jiangsu Province [No. BK20141327]; the Scientific Innovation Research of College Graduates in Jiangsu Province [No. CXLX13-072]; the Scientific Research Foundation of Graduate School of Southeast University, the FEDER Funds through 'Programa Operacional Factores de Competitividade-COMPETE', the Portuguese Funds through FCT - 'Fundacao para a Ciencia e a Tecnologia', within the project [UID/MAT/00013/2013].info:eu-repo/semantics/publishedVersionTaylor & FrancisUniversidade do MinhoHuihui ZhuJianlong ChenPatrício, Pedro2017-01-022017-01-02T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/50138eng0308-10871563-513910.1080/03081087.2016.1178209info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:19:53Zoai:repositorium.sdum.uminho.pt:1822/50138Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:12:55.038823Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Reverse order law for the inverse along an element
title Reverse order law for the inverse along an element
spellingShingle Reverse order law for the inverse along an element
Huihui Zhu
Left, right
Green’s preorders
Reverse order law
Inverses along an element
Rings
Semigroups
(Left, right) inverses along an element
(Left
right) inverses along an element
Science & Technology
title_short Reverse order law for the inverse along an element
title_full Reverse order law for the inverse along an element
title_fullStr Reverse order law for the inverse along an element
title_full_unstemmed Reverse order law for the inverse along an element
title_sort Reverse order law for the inverse along an element
author Huihui Zhu
author_facet Huihui Zhu
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 Huihui Zhu
Jianlong Chen
Patrício, Pedro
dc.subject.por.fl_str_mv Left, right
Green’s preorders
Reverse order law
Inverses along an element
Rings
Semigroups
(Left, right) inverses along an element
(Left
right) inverses along an element
Science & Technology
topic Left, right
Green’s preorders
Reverse order law
Inverses along an element
Rings
Semigroups
(Left, right) inverses along an element
(Left
right) inverses along an element
Science & Technology
description In this paper, we introduce a new concept called left (right) g-MP inverse in a *-monoid. The relations of this type of generalized inverse with left inverse along an element are investigated. Also, the reverse order law for the inverse along an element is studied. Then, the existence criteria and formulae of the inverse of the product of triple elements along an element are investigated in a monoid. Finally, we further study left and right g-MP inverses, the inverse along an element in the context of rings.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-02
2017-01-02T00:00:00Z
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/1822/50138
url http://hdl.handle.net/1822/50138
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0308-1087
1563-5139
10.1080/03081087.2016.1178209
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:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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