A band generated by two semilattices is regular.
A characterization of a free elementary semigroup.
A characterization of rational star languages generated by strong codes.
A characterization of the arc by means of the C-index of itssemigroup.
A combinatorial theorem on -power-free words and an application to semigroups
A finiteness condition for finitely generated semigroups.
A finiteness condition for semigroups which generalizes Green-Rees' theorem.
A fixed point characterization of cofinite languages.
A Garside presentation for Artin-Tits groups of type
We prove that an Artin-Tits group of type is the group of fractions of a Garside monoid, analogous to the known dual monoids associated with Artin-Tits groups of spherical type and obtained by the “generated group” method. This answers, in this particular case, a general question on Artin-Tits groups, gives a new presentation of an Artin-Tits group of type , and has consequences for the word problem, the computation of some centralizers or the triviality of the center. A key point of the proof...
A general finite basis condition for systems of semigroup identities.
A generalization of finiteness.
A generalization of the Bruck-Reilly construction.
A language theoretic interpretation of the Schützenberger representations with applications to certain varieties of languages.
A new approach in the theory of orthodox semigroups.
A new construction for free inverse semigroups.
A normal form for some semigroups generated by idempotents
A note on a problem of Hua.
A note on Baer monoids.
A note on equal powers of word morphisms
A note on Green’s relations in -semigroups