Weak group inverses and partial isometries in proper *-rings

[EN] A weak group element is introduced in a proper ¿-ring. Several equivalent conditions of weak group elements are investigated. We prove that an element is pseudo core invertible if it is both partial isometry and weak group invertible. Reverse order law and additive property of the weak group in...

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Autores: Zhou, Mengmeng, Chen, Jianlong, Zhou, Yukun, Thome, Néstor|||0000-0001-5328-6637
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/192618
Acceso en línea:https://riunet.upv.es/handle/10251/192618
Access Level:acceso abierto
Palabra clave:Weak group inverse
Weak group element
Pseudo core inverse
Partial isometry
MATEMATICA APLICADA
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spelling Weak group inverses and partial isometries in proper *-ringsZhou, MengmengChen, JianlongZhou, YukunThome, Néstor|||0000-0001-5328-6637Weak group inverseWeak group elementPseudo core inversePartial isometryMATEMATICA APLICADA[EN] A weak group element is introduced in a proper ¿-ring. Several equivalent conditions of weak group elements are investigated. We prove that an element is pseudo core invertible if it is both partial isometry and weak group invertible. Reverse order law and additive property of the weak group inverse are presented. Finally, under certain assumption on a, equivalent conditions of aW a¿ = a¿aW are presented by using the normality of the group invertible part of an element in its group-EP decompositionThis research was supported by the National Natural Science Foundation of China (No. 11771076, 11871145), the Postgraduate Research and Practice Innovation Program of Jiangsu Province (No. KYCX18¿0053), the China Scholarship Council (File No. 201906090122), the Qing Lan Project of Jiangsu Province. The fourth author was partially supported by Ministerio de Economía y Competitividad of Spain (grant Red de Excelencia MTM2017-90682-REDT) and by Universidad Nacional de Río Cuarto, Argentina, Res. Rectoral N 083/2020.Taylor & FrancisEscuela Técnica Superior de Ingeniería de TelecomunicaciónDepartamento de Matemática AplicadaInstituto Universitario de Matemática MultidisciplinarChina Scholarship CouncilAGENCIA ESTATAL DE INVESTIGACIONUniversidad Nacional de Río CuartoMinisterio de Economía y CompetitividadNational Natural Science Foundation of ChinaJiangsu Province Key Research and Development, ChinaPostgraduate Research and Practice Innovation Program of Jiangsu ProvinceRepositorio Institucional de la Universitat Politècnica de València Riunet20222022-12-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/192618reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengUniversidad Nacional de Río Cuarto Universidad Nacional de Río Cuarto Res. 083%2F2020 Aproximación de Funciones e Inversas GeneralizadasAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 MTM2017-90682-REDT RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONESNational Natural Science Foundation of China https://doi.org/10.13039/501100001809 11771076National Natural Science Foundation of China https://doi.org/10.13039/501100001809 11871145China Scholarship Council https://doi.org/10.13039/501100004543 201906090122Postgraduate Research and Practice Innovation Program of Jiangsu Province Postgraduate Research and Practice Innovation Program of Jiangsu Province KYCX18-0053open accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1926182026-06-13T07:49:27Z
dc.title.none.fl_str_mv Weak group inverses and partial isometries in proper *-rings
title Weak group inverses and partial isometries in proper *-rings
spellingShingle Weak group inverses and partial isometries in proper *-rings
Zhou, Mengmeng
Weak group inverse
Weak group element
Pseudo core inverse
Partial isometry
MATEMATICA APLICADA
title_short Weak group inverses and partial isometries in proper *-rings
title_full Weak group inverses and partial isometries in proper *-rings
title_fullStr Weak group inverses and partial isometries in proper *-rings
title_full_unstemmed Weak group inverses and partial isometries in proper *-rings
title_sort Weak group inverses and partial isometries in proper *-rings
dc.creator.none.fl_str_mv Zhou, Mengmeng
Chen, Jianlong
Zhou, Yukun
Thome, Néstor|||0000-0001-5328-6637
author Zhou, Mengmeng
author_facet Zhou, Mengmeng
Chen, Jianlong
Zhou, Yukun
Thome, Néstor|||0000-0001-5328-6637
author_role author
author2 Chen, Jianlong
Zhou, Yukun
Thome, Néstor|||0000-0001-5328-6637
author2_role author
author
author
dc.contributor.none.fl_str_mv Escuela Técnica Superior de Ingeniería de Telecomunicación
Departamento de Matemática Aplicada
Instituto Universitario de Matemática Multidisciplinar
China Scholarship Council
AGENCIA ESTATAL DE INVESTIGACION
Universidad Nacional de Río Cuarto
Ministerio de Economía y Competitividad
National Natural Science Foundation of China
Jiangsu Province Key Research and Development, China
Postgraduate Research and Practice Innovation Program of Jiangsu Province
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Weak group inverse
Weak group element
Pseudo core inverse
Partial isometry
MATEMATICA APLICADA
topic Weak group inverse
Weak group element
Pseudo core inverse
Partial isometry
MATEMATICA APLICADA
description [EN] A weak group element is introduced in a proper ¿-ring. Several equivalent conditions of weak group elements are investigated. We prove that an element is pseudo core invertible if it is both partial isometry and weak group invertible. Reverse order law and additive property of the weak group inverse are presented. Finally, under certain assumption on a, equivalent conditions of aW a¿ = a¿aW are presented by using the normality of the group invertible part of an element in its group-EP decomposition
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-12-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/192618
url https://riunet.upv.es/handle/10251/192618
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Universidad Nacional de Río Cuarto Universidad Nacional de Río Cuarto Res. 083%2F2020 Aproximación de Funciones e Inversas Generalizadas
Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 MTM2017-90682-REDT RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES
National Natural Science Foundation of China https://doi.org/10.13039/501100001809 11771076
National Natural Science Foundation of China https://doi.org/10.13039/501100001809 11871145
China Scholarship Council https://doi.org/10.13039/501100004543 201906090122
Postgraduate Research and Practice Innovation Program of Jiangsu Province Postgraduate Research and Practice Innovation Program of Jiangsu Province KYCX18-0053
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
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:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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