Derivation alternator rings with S(a, b, c)=0

Abstract

In this paper, we discuss the derivation alternator rings which are nonassociative but not (-1.1) rings. By assuming some additional conditions, we prove that derivation alternator rings are (-1,1) rings. Here we validate a semiprime derivation alternator ring with commutators in the left nucleus satisfies the identity . By using this we show that a semiprime derivation alternator ring with commutators in the left nucleus is a (-1,1) ring.