arXiv:2211.06589v2 [math.RA] 21 Nov 2022 Page 1 Communications in Mathematics 31 (2023),
no. 1, 169–177 DOI: https://doi.org/10.46298/cm.10319 ©2023 Nadeem ur Rehman and …

The purpose of this paper is to investigate the behavior of prime rings involving skew
derivations with m-potent commutators on Lie ideals. In addition, we provide an example …

Abstract A mapping G: R→ R (not necessarily additive) is called multiplicative right
αcentralizer if T (xy)= α (x) T (y) for all x, y∈ R. A mapping G: R→ R (not necessarily additive) …

A celebrated result of Herstein [10, Theorem 6] states that a ring\(R\) must be commutative
if\([x, y]^{n (x, y)}=[x, y]\) for all\(x, y\in R,\) where\(n (x, y)> 1\) is an integer. In this paper, we …

Generalized Derivations with Periodic Values on Prime Rings Check for updates Page 236
Generalized Derivations with Periodic Values on Prime Rings Check for updates Giovanni …

Let A be a (p+ q)!-torsion free semiprime ring. We proved that if H, D: A→ A are two additive
mappings fulfilling the algebraic identity 2H (ap+ q)= H (ap) aq+ apD (aq)+ H (aq) ap+ aqD …

Abstract A mapping T: R→ R (not necessarily additive) is called multiplicative left 𝛼-
centralizer if T (xy)= T (x) 𝛼 (y) for all x, y∈ R. A mapping F: R→ R (not necessarily additive) …

Let R be a prime ring whose characteristic is either zero or p> 0 such that p (2 n-2). Let Q r
be its right Martindale quotient ring, C its extended centroid and F and G non-zero …

n the present article, we characterize generalized derivations and left multipliers of prime
rings involving commutators with idempotent values. Precisely, we prove that if a prime ring …

CONCERNING MULTIPLICATIVE (GENERALIZED) (α, β)-DERIVATIONS IN PRIME RINGS
1. Introduction and preliminaries Throughout R will Page 1 Annals of Mathematics and …