• 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..........
Keywords
Semiprime ring, Derivation, Biderivation, Orthogonal, Jordan derivation, Jordan left derivation, Jordan left biderivation.
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