English

On $\ast-$Reverse Derivable Maps

Rings and Algebras 2020-02-11 v1

Abstract

Let RR be a ring with involution containing a nontrivial symmetric idempotent element ee. Let δ:RR\delta: R\rightarrow R be a mapping such that δ(ab)=δ(b)a+bδ(a)\delta(ab)=\delta(b)a^{\ast}+b^{\ast}\delta(a) for all a,bRa,b\in R, we call δ\delta a \ast-reverse derivable map on RR. In this paper, our aim is to show that under some suitable restrictions imposed on RR, every \ast-reverse derivable map of RR is additive.

Keywords

Cite

@article{arxiv.2002.03101,
  title  = {On $\ast-$Reverse Derivable Maps},
  author = {Gurninder S. Sandhu and Bruno L. M. Ferreira and D. Kumar},
  journal= {arXiv preprint arXiv:2002.03101},
  year   = {2020}
}
R2 v1 2026-06-23T13:35:01.144Z