5 papers
Quasi-ordinarization transform of a numerical semigroup
Maria Bras-Amorós, Hebert Pérez-Rosés, José Miguel Serradilla-Merinero
We introduce the quasi-ordinarization transform of a numerical semigroup. This transform will allow to organize all the semigroups of a given genus in a forest rooted at all quasi-…
The right-generators descendant of a numerical semigroup
Maria Bras-Amorós, Julio Fernández-González
For a numerical semigroup, we encode the set of primitive elements that are larger than its Frobenius number and show how to produce in a fast way the corresponding sets for its ch…
Increasingly Enumerable Submonoids of R: Music Theory as a Unifying Theme
Maria Bras-Amorós
We analyze the set of increasingly enumerable additive submonoids of R, for instance, the set of logarithms of the positive integers with respect to a given base. We call them -…
Linear non-homogenous patterns and prime power generators in numerical semigroups associated to combinatorial configurations
Klara Stokes, Maria Bras-Amorós
It is proved that the numerical semigroups associated to the combinatorial configurations satisfy a family of non-linear symmetric patterns. Also, these numerical semigroups are st…
Ordinarization Transform of a Numerical Semigroup and Semigroups with a Large Number of Intervals
Maria Bras-Amorós
A numerical semigroup is said to be ordinary if it has all its gaps in a row. Indeed, it contains zero and all integers from a given positive one. One can define a simple operation…