(f, g)-derivation of ordered Γ-semirings

Abstract

In this paper, we introduce the concept of (f, g)-derivation, which is a generalization of f- derivation and derivation of ordered Γ-semiring and study some properties of (f, g)-derivation of ordered Γ-semirings. We prove that, if d is a (f, g)-derivation of an ordered integral Γ-semiring M then ker d is a m-k-ideal of M and we characterize m-k-ideal using (f, g)-derivation of ordered Γ-semiring M.

Keywords

• Ordered Γ-semiring
• derivation
• Γ-semiring
• integral ordered Γ-semiring
• -derivation