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arXiv · 2204.04882

Properties and applications of the Apéry set of good semigroups in $\mathbb{N}^d$

Lorenzo Guerrieri·Nicola Maugeri·Vincenzo Micale
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Abstract

In this article we discuss some applications of the construction of the Apéry set of a good semigroup in $\mathbb{N}^d$ 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.

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Lorenzo Guerrieri, Nicola Maugeri, Vincenzo Micale. 2022-04-11. Properties and applications of the Apéry set of good semigroups in $\mathbb{N}^d$. https://arxiv.org/abs/2204.04882

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