Properties and applications of the Apéry set of good semigroups in ℕ^d

2022/04/11 by Lorenzo Guerrieri, Guerrieri, Lorenzo, Nicola Maugeri +3
Mathematics · #20M10 #20M14 #20M25 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Graph theory and applications #Limits and Structures in Graph Theory

paper · pdf · doi:10.48550/arxiv.2204.04882

openalex publication_date 2022/04/11 · openalex created_date 2022/04/15 · openalex updated_date 2026/07/28

Abstract

In this article we discuss some applications of the construction of the Apéry set of a good semigroup in ℕ^d given in the previous paper [Partition of the complement of good semigroup ideals and Apéry sets, Communications in Algebra, 49, No. 10, 4136-4158 (2021))]. In particular we study: the duality of a symmetric and almost symmetric good semigroup, the Apéry set of non-local good semigroups and the Apéry set of value semigroups of plane curves.

Related

• Partition of complement of good ideals and Apéry sets
• The Apéry Set of a Good Semigroup
• Almost symmetric good semigroups
• Good subsemigroups of \mathbb Nⁿ
• Embedding dimension of a good semigroup