English

Arf good semigroups with fixed genus

Commutative Algebra 2018-02-09 v1

Abstract

In this paper we give an algorithm for the computation of all the Arf numerical semigroups with a given genus. Moreover, we generalize the concept of genus of a numerical semigroup to good semigroups of Nr\mathbb{N}^r and we give a procedure to calculate all the Arf semigroups of Nr\mathbb{N}^r with a given genus.

Keywords

Cite

@article{arxiv.1802.02897,
  title  = {Arf good semigroups with fixed genus},
  author = {Giuseppe Zito},
  journal= {arXiv preprint arXiv:1802.02897},
  year   = {2018}
}

Comments

18 pages. arXiv admin note: text overlap with arXiv:1802.00809

R2 v1 2026-06-23T00:15:56.813Z