ON ORTHOGONAL REVERSE DERIVATIONS OF SEMIPRIME Γ-SEMIRINGS

ON ORTHOGONAL REVERSE DERIVATIONS OF SEMIPRIME Γ-SEMIRINGS

In this paper, we introduce the notion of orthogonal re-serve derivation on semiprime 􀀀-semirings. Some characterizations of semiprime 􀀀-semirimgs are obtained by means of orthogonal re- verse derivations. We also investigate conditions for two reverse derivations on semiprime 􀀀-semiring to be orthogonal.