• PRIME GAMMA RINGS WITH CENTRALIZING AND COMMUTING LEFT GENERALIZED DERIVATIONS

A. SIVAKAMESHWARA KUMAR, C. JAYA SUBBA REDDY*

Abstract


Let  be a prime Γ-ring satisfying a certain assumption and   a nonzero derivation on M. Let  be a left generalized derivation such that    is centralizing and commuting on a left ideal  of . Then we prove that is commutative.


Keywords


Prime Γ-ring, Centralizing and Commuting, Derivation, Left derivation, Generalized derivations, Left generalized derivations.

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