Arf good semigroups

2017/10/09 by Zito, Giuseppe
#13A18 #14H50 #20-04 #20M14 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1710.03223

Abstract

In this paper we study the property of the Arf good subsemigroups of ℕⁿ, with n≥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.

Related

• Arf good semigroups with fixed genus
• Arf good semigroups with fixed conductor
• The tree of good semigroups in ℕ² and a generalization of the Wilf conjecture
• Embedding dimension of a good semigroup
• The Apéry Set of a Good Semigroup