Multicategory

In mathematics (especially category theory), a multicategory is a generalization of the concept of category that allows morphisms of multiple arity. If morphisms in a category are viewed as analogous to functions, then morphisms in a multicategory are analogous to functions of several variables.

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Multicategory - Examples
... There is a multicategory whose objects are (small) sets, where a morphism from the sets X1, X2.. ... There is a multicategory whose objects are vector spaces (over the rational numbers, say), where a morphism from the vector spaces X1, X2.. ... given any monoidal category C, there is a multicategory whose objects are objects of C, where a morphism from the C-objects X1, X2.. ...