On pseudo-Frobenius elements of submonoids of Nd
| Autor: | García García, Juan Ignacio, Ojeda, Ignacio, Rosales, José Carlos, Vigneron Tenorio, Alberto |
|---|---|
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | UVaDOC. Repositorio Documental de la Universidad de Valladolid Consejo Superior de Investigaciones Científicas (CSIC) |
| Popis: | 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) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|