Abstract
We show that every semigroup which is a finite disjoint union of copies of the free monogenic semigroup (natural numbers under addition) has linear growth. This implies that the corresponding semigroup algebra is a PI algebra.
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Abughazalah, N., Etingof, P. Linear growth for semigroups which are disjoint unions of finitely many copies of the free monogenic semigroup. Arch. Math. 105, 223–228 (2015). https://doi.org/10.1007/s00013-015-0801-2
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DOI: https://doi.org/10.1007/s00013-015-0801-2