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On Finite Rank Operators on Centrally Closed Semiprime Rings
dc.contributor.author | Cabello Piñar, Juan Carlos | es_ES |
dc.contributor.author | Casas Del Castillo, Ricardo | es_ES |
dc.contributor.author | Montiel López, Pablo | es_ES |
dc.date.accessioned | 2016-05-10T13:32:28Z | |
dc.date.available | 2016-05-10T13:32:28Z | |
dc.date.issued | 2014-09 | |
dc.identifier.citation | Cabello Piñar, J. C.; Casas del Castillo, R.; Montiel, P. On Finite Rank Operators on Centrally Closed Semiprime Rings. Advances in Pure Mathematics, 4: 499–505 (2014). [http://hdl.handle.net/10481/41188] | es_ES |
dc.identifier.issn | 2160-0368 | |
dc.identifier.issn | 2160-0384 | |
dc.identifier.uri | http://hdl.handle.net/10481/41188 | |
dc.description.abstract | We prove that the multiplication ring of a centrally closed semiprime ring R has a finite rank operator over the extended centroid C iff R contains an idempotent q such that qRq is finitely generated over C and, for each x∈qRq , there exist z∈qRq and e an idempotent of C such that xz = eq. | es_ES |
dc.description.sponsorship | Grupo de Investigación: Estructura Normadas en Espacios Vectoriales (FQM290) de la Junta de Andalucía. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Scientific Research | es_ES |
dc.rights | Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/ | es_ES |
dc.subject | Extended centroid | es_ES |
dc.subject | Minimal idempotent | es_ES |
dc.subject | Ring | es_ES |
dc.subject | Semiprime ring | es_ES |
dc.title | On Finite Rank Operators on Centrally Closed Semiprime Rings | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.4236/apm.2014.49056 |