• ORTHOGONALITY OF DERIVATIONS AND BIDERIVATIONS IN SEMIPRIME ACCESSIBLE RINGS

Abstract

This paper gives the notion of orthogonality between the derivation and biderivation of a semiprime nonassociative accessible ring. We prove that if R is a 2-divisible semiprime accessible ring, B is a biderivation and D is a derivation of R, then B and D are orthogonal if and only if any one of the following equivalent conditions holds for every x, yÎR:.......