Proportionally modular affine semigroups
Producción Científica
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad de Valladolid |
| Repositorio: | UVaDOC. Repositorio Documental de la Universidad de Valladolid |
| OAI Identifier: | oai:uvadoc.uva.es:10324/35969 |
| Acceso en línea: | https://doi.org/10.1142/S0219498818500172 http://uvadoc.uva.es/handle/10324/35969 |
| Access Level: | acceso abierto |
| Palabra clave: | Affine numerical semigroups Semigrupos numéricos afines Buchsbaum ring Anillo de Buchsbaum Cohen-Macaulay ring Anillo de Cohen-Macaulay Gorenstein ring Anillo de Gorenstein Numerical monoid Monoide numérico |
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Proportionally modular affine semigroupsGarcía García, J. IgnacioMoreno Frías, María ÁngelesVigneron Tenorio, AlbertoAffine numerical semigroupsSemigrupos numéricos afinesBuchsbaum ringAnillo de BuchsbaumCohen-Macaulay ringAnillo de Cohen-MacaulayGorenstein ringAnillo de GorensteinNumerical monoidMonoide numéricoProducción CientíficaThis work introduces a new kind of semigroup of Np called proportionally modular affine semigroup. These semigroups are defined by modular Diophantine inequalities and they are a generalization of proportionally modular numerical semigroups. We give an algorithm to compute their minimal generating sets. We also specialize on the case p = 2. For this case, we provide a faster algorithm to compute their minimal system of generators, prove they are Cohen-Macaulay and Buchsbaum, and determinate their (minimal) Frobenius vectors. Besides, Gorenstein proportionally modular affine semigroups are characterized.Ministerio de Economía, Industria y Competitividad ( grants MTM2014-55367-P / MTM2015-65764- C3-1-P)Junta de Andalucía (FQM-366 / FQM-298)World Scientific2018info:eu-repo/semantics/articleapplication/pdfhttps://doi.org/10.1142/S0219498818500172http://uvadoc.uva.es/handle/10324/35969reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolidinstname:Universidad de ValladolidIngléshttps://www.worldscientific.com/doi/abs/10.1142/S0219498818500172info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/oai:uvadoc.uva.es:10324/359692026-06-13T12:44:47Z |
| dc.title.none.fl_str_mv |
Proportionally modular affine semigroups |
| title |
Proportionally modular affine semigroups |
| spellingShingle |
Proportionally modular affine semigroups García García, J. Ignacio Affine numerical semigroups Semigrupos numéricos afines Buchsbaum ring Anillo de Buchsbaum Cohen-Macaulay ring Anillo de Cohen-Macaulay Gorenstein ring Anillo de Gorenstein Numerical monoid Monoide numérico |
| title_short |
Proportionally modular affine semigroups |
| title_full |
Proportionally modular affine semigroups |
| title_fullStr |
Proportionally modular affine semigroups |
| title_full_unstemmed |
Proportionally modular affine semigroups |
| title_sort |
Proportionally modular affine semigroups |
| dc.creator.none.fl_str_mv |
García García, J. Ignacio Moreno Frías, María Ángeles Vigneron Tenorio, Alberto |
| author |
García García, J. Ignacio |
| author_facet |
García García, J. Ignacio Moreno Frías, María Ángeles Vigneron Tenorio, Alberto |
| author_role |
author |
| author2 |
Moreno Frías, María Ángeles Vigneron Tenorio, Alberto |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Affine numerical semigroups Semigrupos numéricos afines Buchsbaum ring Anillo de Buchsbaum Cohen-Macaulay ring Anillo de Cohen-Macaulay Gorenstein ring Anillo de Gorenstein Numerical monoid Monoide numérico |
| topic |
Affine numerical semigroups Semigrupos numéricos afines Buchsbaum ring Anillo de Buchsbaum Cohen-Macaulay ring Anillo de Cohen-Macaulay Gorenstein ring Anillo de Gorenstein Numerical monoid Monoide numérico |
| description |
Producción Científica |
| publishDate |
2018 |
| dc.date.none.fl_str_mv |
2018 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| dc.identifier.none.fl_str_mv |
https://doi.org/10.1142/S0219498818500172 http://uvadoc.uva.es/handle/10324/35969 |
| url |
https://doi.org/10.1142/S0219498818500172 http://uvadoc.uva.es/handle/10324/35969 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
https://www.worldscientific.com/doi/abs/10.1142/S0219498818500172 |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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openAccess |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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application/pdf |
| dc.publisher.none.fl_str_mv |
World Scientific |
| publisher.none.fl_str_mv |
World Scientific |
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reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolid instname:Universidad de Valladolid |
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Universidad de Valladolid |
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UVaDOC. Repositorio Documental de la Universidad de Valladolid |
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UVaDOC. Repositorio Documental de la Universidad de Valladolid |
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15,198674 |