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

N. Abu-Ghazalh, J. D. Mitchell, Y. Péresse, N. Ruškuc

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

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

Original languageEnglish
Pages (from-to)53-61
Number of pages9
JournalSemigroup Forum
Volume91
Issue number1
DOIs
Publication statusPublished - 26 Aug 2015

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Disjoint
Union
Semigroup
Isomorphism

Keywords

  • Decompositions
  • Finite presentations
  • Free semigroup
  • Semigroups

Cite this

Abu-Ghazalh, N. ; Mitchell, J. D. ; Péresse, Y. ; Ruškuc, N. / A classification of disjoint unions of two or three copies of the free monogenic semigroup. In: Semigroup Forum. 2015 ; Vol. 91, No. 1. pp. 53-61.
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A classification of disjoint unions of two or three copies of the free monogenic semigroup. / Abu-Ghazalh, N.; Mitchell, J. D.; Péresse, Y.; Ruškuc, N.

In: Semigroup Forum, Vol. 91, No. 1, 26.08.2015, p. 53-61.

Research output: Contribution to journalArticleResearchpeer-review

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