Derivation $d_{a, \beta}$ of ordered $\Gamma$-semirings
Mathematica Moravica, Tome 22 (2018) no. 2.

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In this paper, we introduce the concept of derivation $d_{a, \beta}$ of ordered $\Gamma$-semiring. We study some of the properties of derivation $d_{a, \beta}$ of ordered $\Gamma$-semirings. We prove that if a derivation $d_{a, \beta}$ is nonzero on an integral $\Gamma$-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 $d_{a, \beta}$ of ordered $\Gamma$-semiring.
Mots-clés : Derivation, $\Gamma$-semiring, ordered $\Gamma$-semiring, integral ordered $\Gamma$-semiring 
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Marapureddy Murali Krishna Rao; Kona Rajendr Kumar; Bolineni Venkateswarlu; Bandaru Ravi Kumar. Derivation $d_{a, \beta}$ of ordered $\Gamma$-semirings. Mathematica Moravica, Tome 22 (2018) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2018_22_2_a9/