306 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidade do PortoPT174 papers
- University of CoimbraPT98 papers
- University of MinhoPT81 papers
- University of LisbonPT24 papers
- Centre National de la Recherche ScientifiqueFR22 papers
- Instituto Superior TécnicoPT22 papers
- UCLouvainBE13 papers
- Universidade Federal da BahiaBR13 papers
- Centro de Análise Matemática Geometria e Sistemas DinâmicosPT10 papers
- Pontifícia Universidade Católica do Rio de JaneiroBR10 papers
- Universidad de La LagunaES9 papers
- Universidade Federal do Rio de JaneiroBR9 papers
5 papers · 2 filters
Groups and Semigroups Defined by Colorings of Synchronizing Automata
Daniele D'Angeli, Emanuele Rodaro
In this paper we combine the algebraic properties of Mealy machines generating self-similar groups and the combinatorial properties of the corresponding deterministic finite automa…
Automaton semigroup constructions
Tara Brough, Alan J. Cain
The aim of this paper is to investigate whether the class of automaton semigroups is closed under certain semigroup constructions. We prove that the free product of two automaton s…
A simple non-bisimple congruence-free finitely presented monoid
Alan J. Cain, Victor Maltcev
We exhibit an example of a finitely presented monoid that is congruence-free and simple but not bisimple.
Hopfian and co-hopfian subsemigroups and extensions
Alan J. Cain, Victor Maltcev
This paper investigates the preservation of hopficity and co-hopficity on passing to finite-index subsemigroups and extensions. It was already known that hopficity is not preserved…
Automatic structures for subsemigroups of Baumslag--Solitar semigroups
Alan J. Cain
This paper studies automatic structures for subsemigroups of Baumslag--Solitar semigroups (that is, semigroups presented by , where and are na…