Orthogonal Derivations And Biderivations On Semiprime Semiring

Abstract

Motivated by some results on Orthogonal Derivations and Biderivations, in [5], the authors defined the notion of orthogonality between the Derivation and Biderivation in ring and some interesting results.In this paper we also introduce the notion of Derivations and Biderivations are orthogonal in semiprime semiring and giving some necessary and sufficient conditions for Derivations and Biderivations are Orthogonal..