Journal Article

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

Archiv der Mathematik (2015) 105(3) 223-228
DOI: 10.1007/s00013-015-0801-2
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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 corresponding semigroup algebra is a PI algebra.

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Abughazalah, N., & Etingof, P. (2015). Linear growth for semigroups which are disjoint unions of finitely many copies of the free monogenic semigroup. Archiv Der Mathematik, 105(3), 223–228. https://doi.org/10.1007/s00013-015-0801-2

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