Generalizations of some results on generalized polynomial identities

Year 2019, Volume: 68 Issue: 2, 2258 - 2263, 01.08.2019

Münevver Pınar Eroğlu

https://doi.org/10.31801/cfsuasmas.476986

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.

Keywords

Simple GPI-ring, prime ring, commutator ring, derivation, generalized derivation

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