Towards a classification of maximal unicellular bands.
Towards parametrizing word equations
Classically, in order to resolve an equation over a free monoid , we reduce it by a suitable family of substitutions to a family of equations , , each involving less variables than , and then combine solutions of into solutions of . The problem is to get in a handy parametrized form. The method we propose consists in parametrizing the path traces in the so called graph of prime equations associated to . We carry out such a parametrization in the case the prime equations in the graph...
Towards parametrizing word equations
Classically, in order to resolve an equation u ≈ v over a free monoid X*, we reduce it by a suitable family of substitutions to a family of equations uf ≈ vf, , each involving less variables than u ≈ v, and then combine solutions of uf ≈ vf into solutions of u ≈ v. The problem is to get in a handy parametrized form. The method we propose consists in parametrizing the path traces in the so called graph of prime equations associated to u ≈ v. We carry out such a parametrization in the case the...
Transformation semigroup diagram and the ...-relation.
Transformation semigroups associated to Γ-semigroups
The concept of Γ-semigroups is a generalization of semigroups. In this paper, we associate two transformation semigroups to a Γ-semigroup and we call them the left and right transformation semigroups. We prove some relationships between the ideals of a Γ-semigroup and the ideals of its left and right transformation semigroups. Finally, we study some relationships between Green's equivalence relations of a Γ-semigroup and its left (right) transformation semigroup.
Transformations determining uniquely a monoid
Transformations determining uniquely a monoid. II.
Transformations determining uniquely a monoid. III: Weak determinancy
Transformations determining uniquely a monoid. IV: Weak determinancy
Transitive inverse semigroups on compact spaces.
Translational hull of an inverse semigroup.
Translational hulls and block designs.
Translational hulls of polynomially related semigroups
Translations of commutative unique factorization semigroups.
Trees and monotone structures.
Trees, band monoids, and formal languages.
Trees in commtative nil-semigroups of index two
Two Congruence Lattices of Completely Simple Semigroups.
Two examples of inverse semigroups algebras.
Two results on real continuous bicharacters.