%0 Journal Article 
%A García García, Juan Ignacio
%A Marín Aragón, Daniel
%A Vigneron Tenorio, Alberto
%T On Ideals of Submonoids of Power Monoids
%D 2025
%@ 2227-7390
%U http://hdl.handle.net/10498/36436
%X 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.
%K atomic monoid
%K elasticity
%K h-fold sumset
%K monoid ideal
%K non-cancellative monoid
%K power monoid
%K semigroup ideal
%K sumset
%~ Universidad de Cádiz