• ORTHOGONALITY OF JORDAN LEFT DERIVATIONS AND JORDAN LEFT BIDERIVATIONS IN SEMIPRIME RINGS

Abstract

This paper gives the notion of orthogonality between the Jordan left derivation and Jordan left biderivation of a semiprime ring. We prove that if R is a 2-tiorsion free semiprime ring, d is a Jordan left derivation and B is a Jordan left biderivation on R, then  d and B are orthogonal if and only if any one of the following equivalent conditions holds..........