EP Elements in Rings with Involution
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| dc.contributor.author | Xu, Sanzhang
|
es_ES |
| dc.contributor.author | Chen, Jianlong
|
es_ES |
| dc.contributor.author | Benítez López, Julio
|
es_ES |
| dc.date.accessioned | 2020-04-06T08:57:40Z | |
| dc.date.available | 2020-04-06T08:57:40Z | |
| dc.date.issued | 2019-11 | es_ES |
| dc.identifier.issn | 0126-6705 | es_ES |
| dc.identifier.uri | http://hdl.handle.net/10251/140253 | |
| dc.description.abstract | [EN] Let R be a unital ring with involution. We first show that the EP elements in R can be characterized by three equations. Namely, let a. R, then a is EP if and only if there exists x. R such that (xa)* = xa, xa(2) = a and ax(2) = x. Any EP element in R is core invertible and Moore-Penrose invertible. We give more equivalent conditions for a core (Moore-Penrose) invertible element to be an EP element. Finally, any EP element is characterized in terms of the n-EP property, which is a generalization of the bi-EP property. | es_ES |
| dc.description.sponsorship | This research is supported by the National Natural Science Foundation of China (No. 11771076). The first author is grateful to China Scholarship Council for giving him a purse for his further study in Universitat Politecnica de Valencia, Spain. | es_ES |
| dc.language | Inglés | es_ES |
| dc.publisher | Springer-Verlag | es_ES |
| dc.relation.ispartof | Bulletin of the Malaysian Mathematical Sciences Society | es_ES |
| dc.rights | Reserva de todos los derechos | es_ES |
| dc.subject | Core inverse | es_ES |
| dc.subject | EP | es_ES |
| dc.subject | Bi-EP | es_ES |
| dc.subject | N-EP | es_ES |
| dc.subject.classification | MATEMATICA APLICADA | es_ES |
| dc.title | EP Elements in Rings with Involution | es_ES |
| dc.type | Artículo | es_ES |
| dc.identifier.doi | 10.1007/s40840-019-00731-x | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/NSFC//11771076/ | es_ES |
| dc.rights.accessRights | Abierto | es_ES |
| dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
| dc.description.bibliographicCitation | Xu, S.; Chen, J.; Benítez López, J. (2019). EP Elements in Rings with Involution. Bulletin of the Malaysian Mathematical Sciences Society. 42(6):3409-3426. https://doi.org/10.1007/s40840-019-00731-x | es_ES |
| dc.description.accrualMethod | S | es_ES |
| dc.relation.publisherversion | https://doi.org/10.1007/s40840-019-00731-x | es_ES |
| dc.description.upvformatpinicio | 3409 | es_ES |
| dc.description.upvformatpfin | 3426 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 42 | es_ES |
| dc.description.issue | 6 | es_ES |
| dc.relation.pasarela | S\389266 | es_ES |
| dc.contributor.funder | National Natural Science Foundation of China | es_ES |
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