@misc{10498/36498,
year = {2024},
url = {http://hdl.handle.net/10498/36498},
abstract = {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.},
publisher = {Walter de Gruyter GmbH},
keywords = {affine semigroup},
keywords = {Apéry set-semigroup},
keywords = {embedding dimension},
keywords = {Frobenius element},
keywords = {ideals},
keywords = {membership problem},
title = {On ideals of affine semigroups and affine semigroups with maximal embedding dimension},
doi = {10.1515/math-2024-0101},
author = {García García, Juan Ignacio and Tapia Ramos, Raquel and Vigneron Tenorio, Alberto},
}