3 papers
math.AC2024
Factorizations into irreducible numerical semigroups
Pedro A. Garcia-Sanchez
Every numerical semigroup can be expressed as an intersection of irreducible numerical semigroups. We show that the unions of sets of lengths of factorizations of numerical semigro…
math.AC2016
Parametrizing Arf numerical semigroups
P. A. García-Sánchez, B. A. Heredia, H. İ. Karakaş +1
We present procedures to calculate the set of Arf numerical semigroups with given genus, given conductor and given genus and conductor. We characterize the Kunz coordinates of an A…
math.AC2015
An overview of the computational aspects of nonunique factorization invariants
P. A. García-Sánchez
We give an overview of the existing algorithms to compute nonunique factorization invariants in finitely generated monoids.