(f,g)-derivation of ordered $\Gamma$-semirings
Mathematica Moravica, Tome 22 (2018) no. 1.

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In this paper, we introduce the concept of (f,g)-derivation, which is a generalization of f - derivation and derivation of ordered $\Gamma$-semiring and study some properties of (f,g)-derivation of ordered $\Gamma$-semirings. We prove that, if $d$ is a (f,g)-derivation of an ordered integral $\Gamma$-semiring $M$ then $\ker d$ is a $m-k-$ideal of $M$ and we characterize $m-k-$ideal using (f,g)-derivation of ordered $\Gamma$-semiring $M$.
Mots-clés : Ordered $\Gamma$-semiring, derivation, $\Gamma$-semiring, integral ordered $\Gamma$-semiring, (f;g)-derivation 
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Marapureddy Murali Krishna Rao; Bolineni Venkateswarlu; Bandaru Ravi Kumar; Kona Rajendra Kumar. (f,g)-derivation of ordered $\Gamma$-semirings. Mathematica Moravica, Tome 22 (2018) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2018_22_1_a8/