On Orthogonal Generalized Derivations of Semiprime Rings

Authors: NURCAN ARGAÇ, ATSUSHI NAKAJIMA, EMİNE ALBAŞ

Abstract: In this paper, we present some results concerning two generalized derivations on a semiprime ring. These results are a generalization of results of M. Bre\u{s}ar and J. Vukman in [2], which are related to a theorem of E. Posner for the product of derivations on a prime ring.

Keywords: derivation, orthogonal derivations, generalized derivation, orthogonal generalized derivations, prime ring, semiprime ring.

Full Text: PDF