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On disjoint unions of finitely many copies of the free monogenic semigroup

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Abstract

Every semigroup which is a finite disjoint union of copies of the free monogenic semigroup (natural numbers under addition) is finitely presented and residually finite.

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Authors and Affiliations

  1. School of Mathematics and Statistics, University of St Andrews, St Andrews, KY16 9SS, Scotland, UK

    N. Abu-Ghazalh & N. Ruškuc

Authors
  1. N. Abu-Ghazalh
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  2. N. Ruškuc
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Corresponding author

Correspondence to N. Ruškuc.

Additional information

Communicated by Steve Pride.

The first author is financially supported by The Ministry of Higher Education in Saudi Arabia (Princess Nora Bint Abdul Rahman University in Riyadh, Ref number RUG0003).

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Abu-Ghazalh, N., Ruškuc, N. On disjoint unions of finitely many copies of the free monogenic semigroup. Semigroup Forum 87, 243–256 (2013). https://doi.org/10.1007/s00233-013-9468-9

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  • DOI: https://doi.org/10.1007/s00233-013-9468-9

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