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A classification of disjoint unions of two or three copies of the free monogenic semigroup

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Original languageEnglish
Pages (from-to)53-61
Number of pages9
JournalSemigroup Forum
Volume91
Issue1
Early online date19 Dec 2014
DOIs
Publication statusPublished - 1 Aug 2015

Abstract

We prove that, up to isomorphism and anti-isomorphism, there are only two semigroups which are the union of two copies of the free monogenic semigroup. Similarly, there are only nine semigroups which are the union of three copies of the free monogenic semigroup. We provide finite presentations for each of these semigroups.

Notes

This is the accepted manuscript version of the following article: N. Abu-Ghazalh, J. D. Mitchell, Y. Péresse, and N. Ruškuc, “A classification of disjoint unions of two or three copies of the free monogenic semigroup”, Semigroup Forum, Vol. 91(1): 53-61, December 2014. The final published version is available at: https://link.springer.com/article/10.1007/s00233-014-9638-4 © Springer Science+Business Media New York 2014

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