@misc{10498/36436,
year = {2025},
url = {http://hdl.handle.net/10498/36436},
abstract = {Let (Formula presented.) be a numerical monoid, while a (Formula presented.) -monoid S is a monoid generated by a finite number of finite non-empty subsets of (Formula presented.). 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 (Formula presented.) -monoids. These are the key to studying some factorization properties of (Formula presented.) -monoids and some additive properties of sumsets. This approach links computational commutative algebra with additive number theory.},
publisher = {Multidisciplinary Digital Publishing Institute (MDPI)},
keywords = {atomic monoid},
keywords = {elasticity},
keywords = {h-fold sumset},
keywords = {monoid ideal},
keywords = {non-cancellative monoid},
keywords = {power monoid},
keywords = {semigroup ideal},
keywords = {sumset},
title = {On Ideals of Submonoids of Power Monoids},
doi = {10.3390/math13040584},
author = {García García, Juan Ignacio and Marín Aragón, Daniel and Vigneron Tenorio, Alberto},
}