dc.creator | Assi, Abdallah | es |
dc.creator | Castro Jiménez, Francisco Jesús | es |
dc.creator | Granger, Michel | es |
dc.date.accessioned | 2016-11-10T12:58:38Z | |
dc.date.available | 2016-11-10T12:58:38Z | |
dc.date.issued | 2000-06-14 | |
dc.identifier.citation | Assi, A., Castro Jiménez, F.J. y Granger, M. (2000). The Gröbner fan of an An-module. Journal of Pure and Applied Algebra, 150 (1), 27-39. | |
dc.identifier.issn | 0022-4049 | es |
dc.identifier.uri | http://hdl.handle.net/11441/48436 | |
dc.description.abstract | Let I be a non-zero left ideal of the Weyl algebra An of order n over a field k and let L:R2n→R be a linear form defined by L(α,β)=∑i=1neiαi+∑i=1nfiβi. If ei+fi≥0, then L defines a filtration F•L on An. Let grL(I) be the graded ideal associated with the filtration induced by F•L on I. Let finally U denote the set of all linear form L for which ei+fi≥0 for all 1≤i≤n. The aim of this paper is to study, by using the theory of Gröbner bases, the stability of grL(I) when L varies in U. In a previous paper, we obtained finiteness results for some particular linear forms (used in order to study the regularity of a D-module along a smooth hypersurface). Here we generalize these results by adapting the theory of Gröbner fan of Mora-Robbiano to the D-module case. Our main tool is the homogenization technique initiated in our previous paper, and recently clarified in a work by F. Castro-Jiménez and L. Narváez-Macarro. | es |
dc.description.sponsorship | Dirección General de Investigación Científica y Técnica | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Pure and Applied Algebra, 150 (1), 27-39. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | The Gröbner fan of an An-module | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.projectID | DGICYT PB94-1435 | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0022404999000341/1-s2.0-S0022404999000341-main.pdf?_tid=298c859a-a745-11e6-ab1c-00000aab0f27&acdnat=1478782797_f4fd04b53a9e14b2a0f7b136fb88bbc2 | es |
dc.identifier.doi | 10.1016/S0022-4049(99)00034-1 | es |
dc.contributor.group | Universidad de Sevilla. FQM333: Álgebra Computacional en Anillos no Conmutativos y Aplicaciones | es |
idus.format.extent | 13 p. | es |
dc.journaltitle | Journal of Pure and Applied Algebra | es |
dc.publication.volumen | 150 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 27 | es |
dc.publication.endPage | 39 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/48436 | |
dc.contributor.funder | Dirección General de Investigación Científica y Técnica (DGICYT). España | |