nLab n-ary semigroup

Contents

Contents

Idea

A generalization of semigroup to n-ary operations.

Definition

Given a natural number nn, an nn-ary semigroup is a set SS with an nn-ary operation f:S nSf:S^n \to S, such that every one of the nn possible bracketings of a list consisting of 2n12n - 1 distinct elements with any nn consecutive elements bracketed are equal to each other.

See also

References

Created on August 4, 2022 at 01:20:10. See the history of this page for a list of all contributions to it.