Irreducibility of Arf Numerical Semigroups
Number Theory
2022-08-10 v2 Commutative Algebra
Abstract
In this paper, we introduce the concept of Arf special gaps of an Arf numerical semigroup, and an algorithm for computing all Arf special gaps of a given Arf numerical semigroup. We introduce the concept of Arf-irreducible numerical semigroups, and draw conclusions about all these concepts. We give a system of generators for the Frobenius variety and variety of families of Arf numerical semigroups. Moreover, we obtain the minimal Arf system of generators of a given Arf numerical semigroup.
Keywords
Cite
@article{arxiv.2207.13206,
title = {Irreducibility of Arf Numerical Semigroups},
author = {Meral Süer},
journal= {arXiv preprint arXiv:2207.13206},
year = {2022}
}