Publicação
Moore-Penrose invertibility in involutory rings: the case aa+=bb+
| Resumo: | 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. |
|---|---|
| Autores principais: | Patrício, Pedro |
| Outros Autores: | Araújo, C. Mendes |
| Assunto: | Moore-Penrose inverse *-regular rings |
| Ano: | 2010 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| _version_ | 1866876710350225408 |
|---|---|
| author | Patrício, Pedro |
| author2 | Araújo, C. Mendes |
| author2_role | author |
| author_facet | Patrício, Pedro Araújo, C. Mendes |
| author_role | author |
| contributor_name_str_mv | Universidade do Minho |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Patrício, Pedro\"},{\"Person.name\":\"Araújo, C. Mendes\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | Universidade do Minho |
| datacite.creators.creator.creatorName.fl_str_mv | Patrício, Pedro Araújo, C. Mendes |
| datacite.date.Accepted.fl_str_mv | 2010-05-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2010-12-14T17:13:07Z |
| datacite.date.embargoed.fl_str_mv | 2010-12-14T17:13:07Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Moore-Penrose inverse *-regular rings |
| datacite.titles.title.fl_str_mv | Moore-Penrose invertibility in involutory rings: the case aa+=bb+ |
| dc.contributor.none.fl_str_mv | Universidade do Minho |
| dc.creator.none.fl_str_mv | Patrício, Pedro Araújo, C. Mendes |
| dc.date.Accepted.fl_str_mv | 2010-05-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2010-12-14T17:13:07Z |
| dc.date.embargoed.fl_str_mv | 2010-12-14T17:13:07Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | https://hdl.handle.net/1822/11265 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Taylor and Francis |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | Moore-Penrose inverse *-regular rings |
| dc.title.fl_str_mv | Moore-Penrose invertibility in involutory rings: the case aa+=bb+ |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| 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. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| fulltext.url.fl_str_mv | https://prod-dspace.uminho.pt/bitstreams/85052289-7de3-498a-9c9e-2e1c4703d1dc/download |
| id | rum_bd7e005f1e8a7e177a33d4cb2b7e9f2e |
| identifier.url.fl_str_mv | https://hdl.handle.net/1822/11265 |
| instacron_str | repositorium |
| institution | Universidade do Minho |
| instname_str | Universidade do Minho |
| language | eng |
| network_acronym_str | rum |
| network_name_str | RepositóriUM - Universidade do Minho |
| oai_identifier_str | oai:repositorium.uminho.pt:1822/11265 |
| organization_str_mv | urn:organizationAcronym:repositorium |
| person_str_mv | Patrício, Pedro Araújo, C. Mendes |
| publishDate | 2010 |
| publisher.none.fl_str_mv | Taylor and Francis |
| reponame_str | RepositóriUM - Universidade do Minho |
| repository_id_str | urn:repositoryAcronym:rum |
| service_str_mv | urn:repositoryAcronym:rum |
| spelling | engTaylor and FrancisporIn 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.application/pdfengMoore-Penrose invertibility in involutory rings: the case aa+=bb+Patrício, PedroAraújo, C. MendesHostingInstitutionOrganizationalUniversidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptISSNIsPartOf0308-1087DOIIsPartOf10.1080/030810808026522792010-12-14T17:13:07Z2010-052010-05-01T00:00:00ZHandlehttps://hdl.handle.net/1822/11265http://purl.org/coar/access_right/c_abf2open accessMoore-Penrose inverse*-regular rings138803 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://prod-dspace.uminho.pt/bitstreams/85052289-7de3-498a-9c9e-2e1c4703d1dc/download |
| spellingShingle | Moore-Penrose invertibility in involutory rings: the case aa+=bb+ Patrício, Pedro Moore-Penrose inverse *-regular rings |
| status | SINGLETON |
| subject.fl_str_mv | Moore-Penrose inverse *-regular rings |
| title | 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_short | Moore-Penrose invertibility in involutory rings: the case aa+=bb+ |
| title_sort | Moore-Penrose invertibility in involutory rings: the case aa+=bb+ |
| topic | Moore-Penrose inverse *-regular rings |
| topic_facet | Moore-Penrose inverse *-regular rings |
| url | https://hdl.handle.net/1822/11265 |
| visible | 1 |