Generalizations of some results on generalized polynomial identities
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Date
2019-08-01
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Ankara Üniversitesi Fen Fakültesi
Abstract
Motivated by the generalized polynomial identities in [1] and [5], our aim is to generalize some of the results in these works. Precisely, we extend the result in [1] on commuting values of the same generalized derivations to the different generalized derivations case by a short proof. Also as an application, we extend a result in [5] on images of a linear map with derivations to generalized derivations case.
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Simple GPI-ring, Prime ring, Commutator ring