On Finite Rank Operators on Centrally Closed Semiprime Rings
Metadatos
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Scientific Research
Materia
Extended centroid Minimal idempotent Ring Semiprime ring
Fecha
2014-09Referencia bibliográfica
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]
Patrocinador
Grupo de Investigación: Estructura Normadas en Espacios Vectoriales (FQM290) de la Junta de Andalucía.Resumen
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.