Linear growth for semigroups which are disjoint unions of finitely many copies of the free monogenic semigroup
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Author(s)
Abughazalah, Nabilah
Etingof, Pavel I.
Date Issued
August 2015
Journal
Archiv der Mathematik
Publisher
Springer Basel
Citation
Abughazalah, Nabilah, and Pavel Etingof. “Linear Growth for Semigroups Which Are Disjoint Unions of Finitely Many Copies of the Free Monogenic Semigroup.” Archiv Der Mathematik 105, no. 3 (August 20, 2015): 223–228.
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Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s00013-015-0801-2
