Commutativity of Factor Ring R/P via *-Reverse P-Derivations

Deepak Kumar; Sukhchain Singh

Commutativity of Factor Ring R/P via *-Reverse P-Derivations

Rings and Algebras 2026-06-14 v1

Authors: Deepak Kumar , Sukhchain Singh

Abstract

In this paper, we establish commutativity criteria for the quotient ring $R/P$ through pairs of $\ast$ -reverse $P$ -derivations satisfying suitable commutator and anti-commutator differential identities. As applications, a number of results concerning $\ast$ -reverse derivations on prime rings are recovered.

Keywords

commutativity criteria factor ring star-reverse derivations prime rings differential identities

Cite

@article{arxiv.2607.09681,
  title  = {Commutativity of Factor Ring R/P via *-Reverse P-Derivations},
  author = {Deepak Kumar and Sukhchain Singh},
  journal= {arXiv preprint arXiv:2607.09681},
  year   = {2026}
}