Derivation dα,β of ordered G-semirings

Abstract

In this paper, we introduce the concept of derivation dα,β of ordered G-semiring. We study some of the properties of derivation dα,β of ordered G-semirings. We prove that if a derivation dα,β is nonzero on an integral G-semiring M then it is non-zero on any non-zero ideal of M and we characterize k-ideal and m - k ideal using derivation dα,β of ordered G-semiring.

Keywords

• derivation
• G-semiring
• ordered G-semiring
• integral ordered G-semiring