English

Arf good semigroups with fixed conductor

Commutative Algebra 2018-02-06 v1

Abstract

In this paper we present a new algorithm to calculate the set of Arf numerical semigroups with given conductor. Moreover, we extend the previous problem to the class of good semigroups, presenting procedures to compute the set of the Arf good semigroups of Nr\mathbb{N}^r with a fixed conductor cNr\textbf{c} \in \mathbb{N}^r, for all rNr \in \mathbb{N}.

Keywords

Cite

@article{arxiv.1802.00809,
  title  = {Arf good semigroups with fixed conductor},
  author = {Giuseppe Zito},
  journal= {arXiv preprint arXiv:1802.00809},
  year   = {2018}
}

Comments

21 pages

R2 v1 2026-06-23T00:09:09.363Z