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Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/41188

Title: On Finite Rank Operators on Centrally Closed Semiprime Rings
Authors: Cabello Piñar, Juan Carlos
Casas del Castillo, Ricardo
Montiel López, Pablo
Issue Date: Sep-2014
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.
Sponsorship: Grupo de Investigación: Estructura Normadas en Espacios Vectoriales (FQM290) de la Junta de Andalucía.
Publisher: Scientific Research
Keywords: Extended centroid
Minimal idempotent
Ring
Semiprime ring
URI: http://hdl.handle.net/10481/41188
ISSN: 2160-0368
2160-0384
Rights : Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License
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]
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