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

Abu-Ghazalh, N., Mitchell, J. D., Péresse, Y. and Ruškuc, N. (2015) A classification of disjoint unions of two or three copies of the free monogenic semigroup. Semigroup Forum, 91 (1). pp. 53-61. ISSN 0037-1912
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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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