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.
References
Albert Burroni (1993). Higher dimensional word problems with applications to equational logic (PDF). Theoretical Computer Science.
Further reading
n-monoid in nLab
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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