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arXiv · 1803.10087

$\aleph_0$-categoricity of semigroups II

T. Quinn-Gregson
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Abstract

A countable semigroup is $\aleph_0$-categorical if it can be characterised, up to isomorphism, by its first-order properties. In this paper we continue our investigation into the $\aleph_0$-categoricity of semigroups. Our main results are a complete classification of $\aleph_0$-categorical orthodox completely 0-simple semigroups, and descriptions of the $\aleph_0$-categorical members of certain classes of strong semilattices of semigroups.

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T. Quinn-Gregson. 2018-03-27. $\aleph_0$-categoricity of semigroups II. https://arxiv.org/abs/1803.10087

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