On Commutativity of Semiprime Rings with Multiplicative (Generalized)-derivations

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On Generalized Derivations of Semiprime Rings

Let F be a commuting generalized derivation, with associated derivation d, on a semiprime ring R. We show that d(x)[y, z] = 0 for all x, y, z ∈ R and d is central. We define and characterize dependent elements of F and investigate a decomposition of R relative to F . Mathematics Subject Classification: 16N60, 16W25

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ژورنال

عنوان ژورنال: Journal of Mathematics Research

سال: 2017

ISSN: 1916-9809,1916-9795

DOI: 10.5539/jmr.v9n2p9