English

Arf good semigroups

Commutative Algebra 2017-10-11 v1

Abstract

In this paper we study the property of the Arf good subsemigroups of Nn\mathbb{N}^n, with n2n\geq2. We give a way to compute all the Arf semigroups with a given collection of multiplicity branches. We also deal with the problem of determining the Arf closure of a set of vectors and of a good semigroup, extending the concept of characters of an Arf numerical semigroup to Arf good semigroups.

Keywords

Cite

@article{arxiv.1710.03223,
  title  = {Arf good semigroups},
  author = {Giuseppe Zito},
  journal= {arXiv preprint arXiv:1710.03223},
  year   = {2017}
}

Comments

32 pages. Accepted for publication on: Journal of Algebra and its Applications

R2 v1 2026-06-22T22:07:54.636Z