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

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.

Bibliographic Details
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:
Online Access:Get fulltext