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.
Quasi-completely right disjunctive languages.
QUASI-INVERSE SEMIGROUP CONGRUENCES ON AN ORTHODOX SEMIGROUP.
Quelques bases et familles basiques des algèbres de Lie libres commodes pour les calculs sur ordinateurs
Quelques constructions et algorithmes relatifs aux sous-monoïdes d'un monoïde libre.
Quelques langages algébriques
Quelques problèmes posés par l'étude combinatoire des semigroupes
Quelques propriétés des systèmes générateurs minimaux des monoldes.