E-free objects and E-locality for completely regular semigroups.
E-minimal semigroups.
Epimorphisms, dominions and varieties of semigroups.
Epimorphisms, permutation identities and finite semigroups.
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.
Equations on the semidirect product of a finite semilattice by a finite commutative monoid.
E-varieties of regular semigroups, relatively bifree objects and fully invariant congruences.