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

Author(s)
Abughazalah, Nabilah; Etingof, Pavel I.
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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.
Date issued
2015-08
URI
http://hdl.handle.net/1721.1/103995
Department
Massachusetts Institute of Technology. Department of Mathematics
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.
Version: Author's final manuscript
ISSN
0003-889X
1420-8938
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