Note on nilpotency in semigroups
Note on quasi-Hamiltonian semigroups
Note on quasi-inverse semigroups.
Note on self-injective non-singular semigroups.
Note on semilattice congruences.
Note on the congruence lattice of a commutative separative semigroup
Note on the number of monoids of order
Note on the orderability of idempotent semigroups.
Note on the Set of Nilpotent Elements and on Radicals of Semigroups
Notes on compact semigroups with identity.
Notes on finite asynchronous automata
Notes on regular semigroups
Notes on semigroup dominions.
Notes on semimedial semigroups
The class of semigroups satisfying semimedial laws is studied. These semigroups are called semimedial semigroups. A connection between semimedial semigroups, trimedial semigroups and exponential semigroups is presented. It is proved that the class of strongly semimedial semigroups coincides with the class of trimedial semigroups and the class of dimedial semigroups is identical with the class of exponential semigroups.
Notion de demi-bande : demi-bande de type deux.
Null cones and pseudo-riemannian metrics.
Numerical isotonies of preordered semigroups through the concept of a scale.
Numerical semigroups of maximal and almost maximal length.
Numerical semigroups with a monotonic Apéry set
We study numerical semigroups with the property that if is the multiplicity of and is the least element of congruent with modulo , then . The set of numerical semigroups with this property and fixed multiplicity is bijective with an affine semigroup and consequently it can be described by a finite set of parameters. Invariants like the gender, type, embedding dimension and Frobenius number are computed for several families of this kind of numerical semigroups.