## Abdelkarim BOUA ; Ahmed Abdelwanis - On commutativity of 3-prime near-rings with generalized (α; β)-derivations

cm:9076 - Communications in Mathematics, April 6, 2022, Volume 30 (2022), Issue 1 - https://doi.org/10.46298/cm.9076
On commutativity of 3-prime near-rings with generalized (α; β)-derivations

Authors: Abdelkarim BOUA ; Ahmed Abdelwanis

Let $$\mathcal{N}$$ be a~$$3$$-prime near ring and $$\alpha,\beta: \mathcal{N}\rightarrow \mathcal{N}$$ be endomorphisms. In the present paper we amplify a~few outcomes concerning generalized derivations and two-sided $$\alpha$$-generalized derivations of $$3$$-prime near rings to generalized $$(\alpha,\beta)$$-derivations. Cases demonstrating the need of the $$3$$-primeness speculation are given. When $$\beta = id_{\mathcal{N}}$$ (resp. $$\alpha = \beta = id_{\mathcal{N}}$$), one can easily obtain the main results of~\cite{ref1} (resp.\cite{ref5}).

Volume: Volume 30 (2022), Issue 1
Published on: April 6, 2022
Imported on: April 23, 2019

## Files

Name Size
455-Boua_Abdelwanis (3).pdf