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arXiv · 1505.02149

Linear growth for semigroups which are disjoint unions of finitely many copies of the free monogenic semigroup

Nabilah Abughazalah·Pavel Etingof
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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 the corresponding semigroup algebra is a PI algebra.

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Nabilah Abughazalah, Pavel Etingof. 2015-05-08. Linear growth for semigroups which are disjoint unions of finitely many copies of the free monogenic semigroup. https://arxiv.org/abs/1505.02149

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