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Stanley depth and the lcm-lattice
dc.contributor.author | Ichim, Bogdan | |
dc.contributor.author | Katthän, Lukas | |
dc.contributor.author | Moyano-Fernández, Julio José | |
dc.date.accessioned | 2017-07-13T07:42:54Z | |
dc.date.available | 2017-07-13T07:42:54Z | |
dc.date.issued | 2017-08 | |
dc.identifier.citation | ICHIM, Bogdan; KATTHÄN, Lukas; MOYANO-FERNÁNDEZ, Julio José. Stanley depth and the lcm-lattice. Journal of Combinatorial Theory, Series A, 2017, vol. 150, p. 295-322. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/168281 | |
dc.description.abstract | In this paper we show that the Stanley depth, as well as the usual depth, are essentially determined by the lcm-lattice. More precisely, we show that for quotients of monomial ideals , both invariants behave monotonic with respect to certain maps defined on their lcm-lattice. This allows simple and uniform proofs of many new and known results on the Stanley depth. In particular, we obtain a generalization of our result on polarization presented in [16]. We also obtain a useful description of the class of all monomial ideals with a given lcm-lattice, which is independent from our applications to the Stanley depth. | ca_CA |
dc.description.sponsorShip | The authors are greatly indebted to Volkmar Welker for pointing out the guidelines leading to Theorem 4.9. We also wish to thank Winfried Bruns and the anonymous reviewers for several helpful suggestions. The first author was partially supported by project PN-II-RU-TE-2012-3-0161, granted by the Romanian National Authority for Scientific Research, CNCS-UEFISCDI. The second author was partially supported by the German Research Council DFG-GRK 1916. The third author was partially supported by the Spanish Government Ministerio de Economía y Competitividad (MINECO), grants MTM2012-36917-C03-03 and MTM2015-65764-C3-2-P, as well as by Universitat Jaume I, grant P1-1B2015-02. | ca_CA |
dc.format.extent | 27 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Journal of Combinatorial Theory, Series A Volume 150, August 2017 | ca_CA |
dc.rights | © 2017 Elsevier Inc. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | monomial ideal | ca_CA |
dc.subject | lcm-lattice | ca_CA |
dc.subject | Stanley depth | ca_CA |
dc.subject | Stanley decomposition | ca_CA |
dc.title | Stanley depth and the lcm-lattice | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1016/j.jcta.2017.03.005 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0097316517300328 | ca_CA |
dc.type.version | info:eu-repo/semantics/sumittedVersion |
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