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

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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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Reference

  1. References N. Abughazalah and N. Ruskuc, On disjoint unions of finitely many copies of the free monogenic semigroup, Semigroup Forum. Vol. 87. No. 1. Springer US, 2013.

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Correspondence to Nabilah Abughazalah.

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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

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