Eroğlu, Münevver Pınar2021-11-092021-11-092019-08-01https://doi.org/10.31801/cfsuasmas.476986http://hdl.handle.net/20.500.12575/75959Motivated 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.enSimple GPI-ringPrime ringCommutator ringArticle682225822632618-6470