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

Nabilah Abughazalah; Pavel Etingof

doi:10.1007/s00013-015-0801-2

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

Journal article

Peer reviewed

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

Nabilah Abughazalah and Pavel Etingof

Archiv der Mathematik, Vol.105(3), pp.223-228

01/09/2015

DOI: https://doi.org/10.1007/s00013-015-0801-2

Abstract

Mathematics

Physical Sciences

Science & Technology

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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Title: Linear growth for semigroups which are disjoint unions of finitely many copies of the free monogenic semigroup
Creators - without role: Nabilah Abughazalah - Princess Nourah bint Abdulrahman University
Pavel Etingof - Massachusetts Institute of Technology
Publication Details: Archiv der Mathematik, Vol.105(3), pp.223-228
Publisher: Springer Nature
Number of pages: 6
Grant note: DMS-1000113 / NSF Grant; National Science Foundation (NSF) Princess Nourah bint Abdulrahman University (PNU) Ibn Khaldun Fellowship (Aramco)
Identifiers: 9927480808331
Academic Unit: Princess Nourah bint Abdulrahman University
Language: English
Resource Type: Journal article