Approximating length-based invariants in atomic Puiseux monoids

• Date: 2022
• Main Author: Polo, H.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2022
• Subjects: atomic Puiseux monoids; numerical monoids; approximation; factorization invariants; sets of lengths; elasticity; set of distances; Primary 20M13; Secondary 40A05; 20M14
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1760
• Journal Title: Algebra and Discrete Mathematics

A numerical monoid is a cofinite additive submonoid of the nonnegative integers, while a Puiseux monoid is an additive submonoid of the nonnegative cone of the rational numbers. Using that a Puiseux monoid is an increasing union of copies of numerical monoids, we prove that some of the factorization...