Annihilating Conditions of Generalized Skew Derivations on Lie Ideals

Nadeem ur Rehman; Sajad Ahmad Pary; Junaid Nisar∗

doi:10.5666/KMJ.2023.63.3.325

Article

Kyungpook Mathematical Journal 2023; 63(3): 325-331

Published online September 30, 2023

Annihilating Conditions of Generalized Skew Derivations on Lie Ideals

Nadeem ur Rehman and Sajad Ahmad Pary, Junaid Nisar∗

Department of Mathematics, Aligarh Muslim University, 202002 Aligarh, India
e-mail : nu.rehman.mm@amu.ac.in and paryamu@gmail.com

Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International (Deemed) University, Pune 412115, India
e-mail : junaidnisar73@gmail.com; junaid.nisar@sitpune.edu.in

Received: March 29, 2022; Revised: August 7, 2022; Accepted: August 22, 2022

Abstract

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Abstract

Let A be a prime ring of char(A)≠2, L a non-central Lie ideal of A,F a generalized skew derivation of A and p∈A, a nonzero fixed element. If pF(η)η∈C for any η∈L, then A satisfies S4.

Keywords: Prime ring, Generalized skew derivation