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math.LO2024
Minimal signatures with undecidability of representability by binary relations
Robin Hirsch, Marcel Jackson, Jaš Šemrl
A semigroup of binary relations (under composition) on a set is \emph{complemented} if it is closed under the taking of complements within . We resolve a 1991 proble…
math.LO2022
Equationally defined classes of semigroups
Peter M. Higgins, Marcel Jackson
We apply, in the context of semigroups, the main theorem from~\cite{higjac} that an elementary class of algebras which is closed under the taking of direct products a…