On Finite Rank Operators on Centrally Closed Semiprime Rings Cabello Piñar, Juan Carlos Casas Del Castillo, Ricardo Montiel López, Pablo Extended centroid Minimal idempotent Ring Semiprime ring 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. 2016-05-10T13:32:28Z 2016-05-10T13:32:28Z 2014-09 info:eu-repo/semantics/article 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] 2160-0368 2160-0384 http://hdl.handle.net/10481/41188 10.4236/apm.2014.49056 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Scientific Research