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On multiplicative (generalized) - derivations and central valued conditions in prime rings

Sandhu Gurninder S., Ayran Ayşe, Aydin Neşet

Journal of Mathematics and Applications

2021

Vol. 44

93--105

Let R be a prime ring with multiplicative (generalized)- derivations (F, f) and (G, g) on R. This paper gives a number of central valued algebraic identities involving F and G that are equivalent to the commutativity of R under some suitable assumptions. Moreover, in order to optimize our results, we show that the assumptions taken cannot be relaxed.