论文标题

$ \ mathbb {n}^d $中的良好半群的apéry集的属性和应用

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

论文作者

Guerrieri, Lorenzo, Maugeri, Nicola, Micale, Vincenzo

论文摘要

在本文中,我们讨论了在上一篇论文中给出的$ \ mathbb {n}^d $构建Apéry集合的某些应用[良好的半群理想和Apéry集的补充,代数,49,第49号,第10、4136-4158号(20211))]。特别是我们研究:对称且几乎对称的良好半群,非本地良好的良好半群的apéry集和平面曲线的价值半群的apéry。

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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