Partially abelian squarefree words
Periodic endomorphisms of a free monoid.
Permutability of normal extensions of a semilattice.
Permutation functions and (n,m)-commutativity of semigroups .
Permutation properties and the Fibonacci semigroup.
Positive functions from -indecomposable semigroups into partially ordered sets
Pour le monoïde plaxique
Cet article est probablement le dernier texte de mathématiques écrit en vue de sa publication par M. P. Schützenberger, décédé en juillet 1996. Il était offert par son auteur en hommage à André Lentin, à l'occasion d'un colloque tenu en l'honneur de celui-ci le 23 février 1996 ; M. P. Schützenberger, déjà très malade, n'avait pu participer à cette rencontre, mais avait tenu à rédiger, non sans souffrances, une contribution scientifique qui témoignât de son amitié pour A. Lentin. Lorsque je lui dis...
Power pseudovarieties of semigroups II.
Precomplete varieties of semigroups.
Présentation et simplifiabilité de certains monoïdes
Presentation of the singular part of the Brauer monoid
We obtain a presentation for the singular part of the Brauer monoid with respect to an irreducible system of generators consisting of idempotents. As an application of this result we get a new construction of the symmetric group via connected sequences of subsets. Another application describes the lengths of elements in the singular part of the Brauer monoid with respect to the system of generators mentioned above.
Presentations et presentations simplifiables d'un monoide simplifiable.
Presentations of alternating semigroups.
Principal ideals of finitely generated commutative monoids
We study the semigroups isomorphic to principal ideals of finitely generated commutative monoids. We define the concept of finite presentation for this kind of semigroups. Furthermore, we show how to obtain information on these semigroups from their presentations.
Problèmes d 'associativité des monoïdes et problèmes des mots pour les groupes
Product of idempotents in finite full transformation semigroups.
Products of four idempotents in finite full transformation semigroups.
Products of inverse semigroups.
Projectives in inverse semigroups.
Properties of the subsemigroups of the bicyclic monoid
In this paper we study some properties of the subsemigroups of the bicyclic monoid B, by using a recent description of its subsemigroups. We start by giving necessary and sufficient conditions for a subsemigroup to be finitely generated. Then we show that all finitely generated subsemigroups are automatic and finitely presented. Finally we prove that a subsemigroup of B is residually finite if and only if it does not contain a copy of B.