%0 Journal Article %T Linear growth for semigroups which are disjoint unions of finitely many copies of the free monogenic semigroup %A Nabilah Abughazalah %A Pavel Etingof %J Mathematics %D 2015 %I arXiv %X 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 the corresponding semigroup algebra is a PI algebra. %U http://arxiv.org/abs/1505.02149v1