RT journal article
T1 On Ideals of Submonoids of Power Monoids
A1 García García, Juan Ignacio
A1 Marín Aragón, Daniel
A1 Vigneron Tenorio, Alberto
A2 Matemáticas
K1 atomic monoid
K1 elasticity
K1 h-fold sumset
K1 monoid ideal
K1 non-cancellative monoid
K1 power monoid
K1 semigroup ideal
K1 sumset
AB 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.
PB Multidisciplinary Digital Publishing Institute (MDPI)
SN 2227-7390
YR 2025
FD 2025
LK http://hdl.handle.net/10498/36436
UL http://hdl.handle.net/10498/36436
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026