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

doi:10.1007/s00233-014-9638-4

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 journal › Article › peer-review

2 Citations (Scopus)

63 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 language	English
Pages (from-to)	53-61
Number of pages	9
Journal	Semigroup Forum
Volume	91
Issue number	1
Early online date	19 Dec 2014
DOIs	https://doi.org/10.1007/s00233-014-9638-4
Publication status	Published - 1 Aug 2015

Keywords

Semigroups
Abstract Algebra

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10.1007/s00233-014-9638-4

Accepted ManuscriptAccepted author manuscript, 533 KBLicence: CC BY

http://arxiv.org/pdf/1312.5518v2.pdf

Cite this

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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.",

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AB - 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.

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KW - Abstract Algebra

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JO - Semigroup Forum

JF - Semigroup Forum

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

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