Abstract
AbstractA countable semigroup is $$\aleph _0$$
ℵ
0
-categorical if it can be characterised, up to isomorphism, by its first-order properties. In this paper we continue our investigation into the $$\aleph _0$$
ℵ
0
-categoricity of semigroups. Our main results are a complete classification of $$\aleph _0$$
ℵ
0
-categorical orthodox completely 0-simple semigroups, and descriptions of the $$\aleph _0$$
ℵ
0
-categorical members of certain classes of strong semilattices of semigroups.
Funder
Technische Universität Dresden
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory
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