Korean J. Math. Vol. 27 No. 3 (2019) pp.779-791
DOI: https://doi.org/10.11568/kjm.2019.27.3.779

A note on derivations of ordered $\Gamma$-semirings

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KyungHo Kim


In this paper, we consider derivation of an ordered $\Gamma$-semiring and introduce the notion of reverse derivation on ordered $\Gamma$-semiring. Also, we obtain some interesting related properties. Let $I$ be a nonzero ideal of prime ordered $\Gamma$-semiring $M$ and let $d$ be a nonzero derivation of $M.$ If $\Gamma$-semiring $M$ is negatively ordered, then $d$ is nonzero on $I.$

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