• ORTHOGONALITY OF DERIVATIONS AND BIDERIVATIONS IN SEMIPRIME ACCESSIBLE RINGS

P. S. VIJAYA LAKSHMI*, K. SUVARNA

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:.......


Keywords


Derivation, Biderivation, Orthogonality, Semiprime, flexible, accessible rings.

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