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Beidar, K.I., Martindale III, W.S. and Mikhalev, A.V. (1996) Rings with Generalized Identities. Marcel Dekker, New York.

has been cited by the following article:

• TITLE: On Finite Rank Operators on Centrally Closed Semiprime Rings

  AUTHORS: J. C. Cabello, R. Casas, P. Montiel

  KEYWORDS: Ring, Semiprime Ring, Extended Centroid, Minimal Idempotent

  JOURNAL NAME: Advances in Pure Mathematics, Vol.4 No.9, September 4, 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 , there exist and e an idempotent of C such that xz=eq.