In mathematics, and in particular universal algebra, the concept of an n-ary group (also called a polyadic group, an n-group, or a multiary group) is a generalization of the concept of a group to a set G with an n-ary operation instead of a binary operation. By an n-ary operation is meant any map f: Gn → G from the n-th Cartesian power of G to G. The axioms for an n-ary group are defined in such a way that they reduce to those of a group in the case n = 2.
In mathematics, and in particular universal algebra, the concept of an n-ary group (also called a polyadic group, an n-group, or a multiary group) is a generalization of the concept of a group to a set G with an n-ary operation instead of a binary operation. By an n-ary operation is meant any map f: Gn → G from the n-th Cartesian power of G to G. The axioms for an n-ary group are defined in such a way that they reduce to those of a group in the case n = 2.
Source: Wikipedia "N-ary group" · CC BY-SA 4.0
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