2024-03-19T05:53:01Zhttp://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/407302021-06-24T07:41:25Zcom_10324_32197com_10324_952com_10324_894col_10324_32199
00925njm 22002777a 4500
dc
García García, Juan Ignacio
author
Ojeda, Ignacio
author
Rosales, José Carlos
author
Vigneron Tenorio, Alberto
author
2020
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.
Collectanea Mathematica, 2020, vol. 71. p. 189-204
2038-4815
http://uvadoc.uva.es/handle/10324/40730
10.1007/s13348-019-00267-0
On pseudo-Frobenius elements of submonoids of Nd