Arf good semigroups

Abstract

In this paper we study the property of the Arf good subsemigroups of ${\mathbb{N}}^n$, with $n\ge 2$. 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.

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