In category theory, a (strict) n-monoid is an n-category with only one 0-cell. In particular, a 1-monoid is a monoid and a 2-monoid is a strict monoidal category.
- Albert Burroni (1993). Higher dimensional word problems with applications to equational logic. Theoretical Computer Science. http://www.pps.univ-paris-diderot.fr/~burroni/mapage/highwordpb.pdf.
Original source: https://en.wikipedia.org/wiki/N-monoid. Read more