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

• Main Authors: Abughazalah, Nabilah (Author), Etingof, Pavel I. (Contributor)
• Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
• Format: Article
• Language: English
• Published: Springer Basel, 2016-08-25T19:18:27Z.
• Subjects: Article
• Online Access: Get fulltext

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.
National Science Foundation (U.S.) (Grant DMS-1000113)
Saudi Aramco (Ibn Khaldun Fellowship)