Reverse order law for the inverse along an element
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , |
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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1799132565892759552 |