Geodesic
$(f,g)$-derivation of ordered ternary semirings
Discussiones Mathematicae. General Algebra and Applications, Tome 43 (2023) no. 1, pp. 149-159

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In this paper, we introduce the concept of an (f, g)-derivation of ternary semirings and we study its properties in ordered ternary semirings. We prove that if d is an (f, g)-derivation of an ordered ternary semiring S, then the kernel of d is a k-ideal of S. Moreover, we show that the kernel and the set of all fixed points of d are m-k-ideals of S.
Keywords: ordered ternary semiring, derivation, integral ordered ternary semiring 
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Sarasit, Napaporn; Chinram, Ronnason. $(f,g)$-derivation of ordered ternary semirings. Discussiones Mathematicae. General Algebra and Applications, Tome 43 (2023) no. 1, pp. 149-159. http://geodesic.mathdoc.fr/item/DMGAA_2023_43_1_a13/