Work

On Ideals of Submonoids of Power Monoids

Year: 2025

Type: article

Abstract: Let S be a numerical monoid, while a Pfin(S)-monoid S is a monoid generated by a finite number of finite non-empty subsets of S. That is, S is a non-cancellative commutative monoid obtained from the sumset of finite non-negative integer sets. This work provides an algorithm for computing the ideals associated with some Pfin(S)-monoids. These are the key to studying some factorization properties of Pfin(S)-monoids and some additive properties of sumsets. This approach links computational commutative algebra with additive number theory.

Source: Mathematics

DOI: 10.3390/math13040584

Authors: Juan Ignacio García-García, Daniel Marín-Aragón, Alberto Vigneron-Tenorio

Institution: Universidad de Cádiz

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Agencia Estatal de Investigación