Numerical semigroups with a given set of pseudo-Frobenius numbers
Commutative Algebra
2019-02-20 v1 Combinatorics
Abstract
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 procedure to detect if a given set of integers is the set of pseudo-Frobenius numbers of a numerical semigroup and, if so, to compute the set of all numerical semigroups having this set as set of pseudo-Frobenius numbers.
Keywords
Cite
@article{arxiv.1505.08111,
title = {Numerical semigroups with a given set of pseudo-Frobenius numbers},
author = {M. Delgado and P. A. García-Sánchez and A. M. Robles-Pérez},
journal= {arXiv preprint arXiv:1505.08111},
year = {2019}
}
Comments
22 pages