On Finite Rank Operators on Centrally Closed Semiprime Rings  

作　　者：J. C. Cabello R. Casas P. Montiel 

机构地区：[1]Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, Granada, Spain [2]Departamento de Didáctica de las Ciencias Experimentales, Facultad de Ciencias de la Educación, Universidad de Granada, Granada, Spain [3]Departamento de Matemáticas, Centro de Magisterio La Inmaculada, Universidad de Granada, Granada, Spain

出　　处：《Advances in Pure Mathematics》2014年第9期499-505,共7页理论数学进展（英文）

摘　　要：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 , there exist and e an idempotent of C such that xz=eq.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 , there exist and e an idempotent of C such that xz=eq.

关 键 词：RING SEMIPRIME RING Extended CENTROID MINIMAL IDEMPOTENT 

分 类 号：O1[理学—数学]