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

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    2 Citations (Scopus)
    33 Downloads (Pure)

    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.
    Original languageEnglish
    Pages (from-to)53-61
    Number of pages9
    JournalSemigroup Forum
    Volume91
    Issue number1
    Early online date19 Dec 2014
    DOIs
    Publication statusPublished - 1 Aug 2015

    Keywords

    • Semigroups
    • Abstract Algebra

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