Reversibility of rings with respect to the Zhou Radical

Tugce Pekacar Calci; Serhat Emirhan Soycan

Reversibility of rings with respect to the Zhou Radical

Rings and Algebras 2024-05-16 v1

Authors: Tugce Pekacar Calci , Serhat Emirhan Soycan

Abstract

Let $R$ be a ring with identity and $\delta(R)$ denote the Zhou radical of $R$ . A ring $R$ is called {\it $\delta$ -reversible} if for any $a$ , $b \in R$ , $ab = 0$ implies $ba \in \delta(R)$ . In this paper, we give some properties of $\delta$ -reversible rings. We examine some extensions of $\delta$ -reversible rings.

Keywords

delta-reversible rings zhou radical ring extensions reversibility

Cite

@article{arxiv.2405.08942,
  title  = {Reversibility of rings with respect to the Zhou Radical},
  author = {Tugce Pekacar Calci and Serhat Emirhan Soycan},
  journal= {arXiv preprint arXiv:2405.08942},
  year   = {2024}
}

Related papers

View all related →