@misc{10498/37314,
year = {2020},
url = {http://hdl.handle.net/10498/37314},
abstract = {In this paper we study those submonoids of Nd with a nontrivial pseudo-Frobenius set. In the affine case, we prove that they are the affine semigroups whose associated algebra over a field has maximal projective dimension possible. We prove that these semigroups are a natural generalization of numerical semigroups and, consequently, most of their invariants can be generalized. In the last section we introduce a new family of submonoids of Nd and using its pseudo-Frobenius elements we prove that the elements in the family are direct limits of affine semigroups.},
publisher = {Springer},
keywords = {Affine semigroups},
keywords = {Numerical semigroups},
keywords = {Frobenius elements},
keywords = {Pseudo-Frobenius elements},
keywords = {Apéry sets},
keywords = {Gluings},
keywords = {Free resolution},
keywords = {Irreducible semigroups},
title = {On pseudo-Frobenius elements of submonoids of Nd},
doi = {10.1007/s13348-019-00267-0},
author = {García García, Juan Ignacio and Ojeda, Ignacio and Rosales, Jose Carlos and Vigneron Tenorio, Alberto},
}