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dc.contributor.author | Bivià-Ausina, Carles | es_ES |
dc.date.accessioned | 2018-06-04T04:22:04Z | |
dc.date.available | 2018-06-04T04:22:04Z | |
dc.date.issued | 2018 | es_ES |
dc.identifier.issn | 0021-8693 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/103293 | |
dc.description.abstract | [EN] Given a pair of monomial ideals $I$ and $J$ of finite colength of the ring of analytic function germs $(\C^n,0)\to \C$, we prove that some power of $I$ admits a reduction formed by homogeneous polynomials with respect to the Newton filtration induced by $J$ if and only if the quotient of multiplicities $e(I)/e(J)$ attains a suitable upper bound expressed in terms of the Newton polyhedra of $I$ and $J$. We also explore other connections between mixed multiplicities, Newton filtrations and the integral closure of ideals. | es_ES |
dc.description.sponsorship | The author was partially supported by DGICYT Grant MTM2015-64013-P. | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Journal of Algebra | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Integral closure of ideals | es_ES |
dc.subject | Mixed multiplicities of ideals | es_ES |
dc.subject | Monomial ideals | es_ES |
dc.subject | Newton polyhedra | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Integral closure and bounds for quotients of multiplicities of monomial ideals | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.jalgebra.2017.12.030 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2015-64013-P/ES/SINGULARIDADES, GEOMETRIA GENERICA Y APLICACIONES/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Bivià-Ausina, C. (2018). Integral closure and bounds for quotients of multiplicities of monomial ideals. Journal of Algebra. 501:233-254. https://doi.org/10.1016/j.jalgebra.2017.12.030 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1016/j.jalgebra.2017.12.030 | es_ES |
dc.description.upvformatpinicio | 233 | es_ES |
dc.description.upvformatpfin | 254 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 501 | es_ES |
dc.relation.pasarela | S\353823 | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |