In this paper, some properties of subtractive ideal of (n,m)-semirings are investigated.
In addition, we study the morphisms of (n, m)-semirings starting from the definitions given in the case of universal algebras. We will present several theorems of correspondence for  sub-(n, m)-semirings, ideals, subtractive ideals that represent the generalization of the morphism theorems of the binary case.

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Lauran, Monica, Pop, Adina