Epis are onto for generalized inverse semigroups.
Epis from locally inverse semigroups are onto.
Equational description of pseudovarieties of homomorphisms
The notion of pseudovarieties of homomorphisms onto finite monoids was recently introduced by Straubing as an algebraic characterization for certain classes of regular languages. In this paper we provide a mechanism of equational description of these pseudovarieties based on an appropriate generalization of the notion of implicit operations. We show that the resulting metric monoids of implicit operations coincide with the standard ones, the only difference being the actual interpretation of pseudoidentities....
Equational description of pseudovarieties of homomorphisms
The notion of pseudovarieties of homomorphisms onto finite monoids was recently introduced by Straubing as an algebraic characterization for certain classes of regular languages. In this paper we provide a mechanism of equational description of these pseudovarieties based on an appropriate generalization of the notion of implicit operations. We show that the resulting metric monoids of implicit operations coincide with the standard ones, the only difference being the actual interpretation of pseudoidentities. As...
Equations and dot-depth one.
Équations dans les monoïdes libres
Après une introduction de caractère historique, l'auteur expose succinctement les principaux résultats qu'il a obtenus (thèse, Paris 1969) dans le domaine jusqu'alors pratiquement inexploré des équations dans les monoïdes libres.
Equations on the semidirect product of a finite semilattice by a finite commutative monoid.
Equidivisible Kleene monoids and the Elgot-Mezei theorem.
Equipotence et unicité de systems générateurs minimaux dans certains monoides.
Equivalences, a-semigroups and a-congruences.
Équivalences de Green dans les catégories bien filtrantes
Erratum to "Automorphisms of polynomial semigroups".
Erratum to “On homological classification of pomonoids by regular weak injectivity properties of S-posets”
The original version of the article was published in Central European Journal of Mathematics, 2007, 5(1), 181–200, DOI: 10.2478/s11533-006-0036-3. Unfortunately, the original version of this article contains a mistake: in Theorem 5.2 only conditions (i) and (ii) (and not (iii)) are equivalent. We correct the theorem and its proof.
Erratum to the paper "Semigroups containing covered one-sided ideals"
Errors in elements of compact semigroups.
Erweiterungen linearer involutorischer Halbgruppen
Etude du treillis des congruences à droite sur le monoide bicyclique.
E-unitary R-unipotent semigroups.
E-varieties of regular semigroups, relatively bifree objects and fully invariant congruences.
Every braid admits a short sigma-definite expression
A result by Dehornoy (1992) says that every nontrivial braid admits a -definite expression, defined as a braid word in which the generator with maximal index appears with exponents that are all positive, or all negative. This is the ground result for ordering braids. In this paper, we enhance this result and prove that every braid admits a -definite word expression that, in addition, is quasi-geodesic. This establishes a longstanding conjecture. Our proof uses the dual braid monoid and a new...