English

Multiplicative (generalized)-derivations of prime rings that act as $n-$(anti)homomorphisms

Rings and Algebras 2025-06-03 v1

Abstract

Let RR be a prime ring. In this note, we describe the possible forms of multiplicative (generalized)-derivations of RR that act as nn-homomorphism or nn-antihomomorphism on nonzero ideals of R.R. Consequently, from the given results one can easily deduce the results of Gusi\'{c} \cite{Gusic2005}.

Keywords

Cite

@article{arxiv.2006.04521,
  title  = {Multiplicative (generalized)-derivations of prime rings that act as $n-$(anti)homomorphisms},
  author = {Gurninder S. Sandhu},
  journal= {arXiv preprint arXiv:2006.04521},
  year   = {2025}
}