In the mid forties of the twentieth century, after the development of the general structure
theory for rings, a great deal of work was done that showed that under certain types of …

In the present paper, we prove that a prime ring R with center Z satisfies s 4, the standard
identity in four variables if R admits a non-identity automorphism σ such that (u σ, u] v σ+ v σ …

Let R be a ring. An additive mapping F: R → RF: R→ R is called a generalized derivation if
there exists a derivation d: R → R d: R→ R such that F (xy)= F (x) y+ xd (y) F (xy)= F (x) y+ xd …

Let R be a prime ring with the extended centroid C and the Matrindale quotient ring Q. An
additive mapping F: R→ R is called a semiderivation associated with a mapping G: R→ R …

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 …

Full article: N-commuting mappings on (semi)-prime rings with applications Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

The notions of skew-commuting/commuting/semi-commuting/skew-centralizing/semi-
centralizing mappings play an important role in ring theory. ${\mathfrak {C}}^* $-algebras …

In this manuscript, we discuss the relationship between prime rings and automorphisms
satisfying differential identities involving commutators and anti-commutators on Lie ideals. In …

Let R be a prime ring of characteristics different from two, L a noncentral Lie ideal of R, da
derivation of R, and ξ an automorphism of R. The goal of this manuscript is to discuss the …