55 citations · 65 across the 5 of their papers we have counts for
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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…
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…
numericalsgps, a GAP package for numerical semigroups
Manuel Delgado, Pedro A. García Sánchez
The package numericalsgps performs computations with and for numerical semigroups. Recently also affine semigroups are admitted as objects for calculations. This manuscript is a su…
Numerical semigroups with a given set of pseudo-Frobenius numbers
M. Delgado, P. A. García-Sánchez, A. M. Robles-Pérez
The pseudo-Frobenius numbers of a numerical semigroup are those gaps of the numerical semigroup that are maximal for the partial order induced by the semigroup. We present a proced…
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.