2024-03-19T02:58:43Zhttp://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/407302021-06-24T07:41:25Zcom_10324_32197com_10324_952com_10324_894col_10324_32199
García García, Juan Ignacio
Ojeda, Ignacio
Rosales, José Carlos
Vigneron Tenorio, Alberto
2020-04-08T12:49:38Z
2020-04-08T12:49:38Z
2020
Collectanea Mathematica, 2020, vol. 71. p. 189-204
2038-4815
http://uvadoc.uva.es/handle/10324/40730
10.1007/s13348-019-00267-0
Producción Científica
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.
Ministerio de Economía, Industria y Competitividad (project MTM2017-84890-P)
Ministerio de Economía, Industria y Competitividad - Fondo Europeo de Desarrollo Regional (project MTM2015-65764-C3-1-P)
application/pdf
eng
Springer
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
© 2020 Springer
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Numerical semigroups
Semigrupos numéricos
Affine semigroups
Semigrupos afines
Pseudo-Frobenius number
Pseudo-número de Frobenius
Free resolutions
Resoluciones libres
On pseudo-Frobenius elements of submonoids of Nd
info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
https://link.springer.com/article/10.1007%2Fs13348-019-00267-0
SI