RT journal article
T1 On ideals of affine semigroups and affine semigroups with maximal embedding dimension
A1 García García, Juan Ignacio
A1 Tapia Ramos, Raquel
A1 Vigneron Tenorio, Alberto
A2 Matemáticas
K1 affine semigroup
K1 Apéry set-semigroup
K1 embedding dimension
K1 Frobenius element
K1 ideals
K1 membership problem
AB Let S N p S\subseteq {{\mathbb{N}}}^{p} be a semigroup, any P S P\subseteq S is an ideal of S S if P + S P P+S\subseteq P, and an I (S) I\left(S) -semigroup is the affine semigroup P { 0 } P\cup \left\{0\right\}, with P P an ideal of S S. We characterise the I (S) I\left(S) -semigroups and the ones that also are C {\mathcal{C}} -semigroups. Moreover, some algorithms are provided to compute all the I (S) I\left(S) -semigroups satisfying some properties. From a family of ideals of S S, we introduce the affine semigroups with maximal embedding dimension, characterising them and describing some families.
PB Walter de Gruyter GmbH
SN 2391-5455
YR 2024
FD 2024
LK http://hdl.handle.net/10498/36498
UL http://hdl.handle.net/10498/36498
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026