Reversibility of rings with respect to the Zhou Radical

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