Embedding dimension of a good semigroup

2019/03/05 by Nicola Maugeri, Maugeri, Nicola, G. Zito +1
Computer Science · Mathematics · #13A18 #13H99 #14H50 #20-04 #20M14 #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1903.02057

openalex publication_date 2019/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study good semigroups of ℕⁿ, a class of semigroups that contains the value semigroups of algebroid curves with n branches. We give the definition of embedding dimension of a good semigroup showing that, in the case of good semigroups of ℕ², some of its properties agree with the analogue concepts defined for numerical semigroups.

Related

• The tree of good semigroups in ℕ² and a generalization of the Wilf conjecture
• The Apéry Set of a Good Semigroup
• Partition of complement of good ideals and Apéry sets
• Good subsemigroups of \mathbb Nⁿ
• The Honest Embedding Dimension of a Numerical Semigroup