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How to compute the Stanley depth of a module
dc.contributor.author | Ichim, Bogdan | |
dc.contributor.author | Katthan, Lukas | |
dc.contributor.author | Moyano-Fernández, Julio José | |
dc.date.accessioned | 2017-04-03T09:47:23Z | |
dc.date.available | 2017-04-03T09:47:23Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 0025-5718 | |
dc.identifier.issn | 1088-6842 | |
dc.identifier.uri | http://hdl.handle.net/10234/167065 | |
dc.description.abstract | In this paper we introduce an algorithm for computing the Stanleydepth of a finitely generated multigraded module M over the polynomialring K[X1,...,Xn]. As an application, we give an example of a module whoseStanley depth is strictly greater than the depth of its syzygy module. In particular,we obtain complete answers for two open questions raised by Herzog.Moreover, we show that the question whether M has Stanley depth at leastr can be reduced to the question whether a certain combinatorially definedpolytope P contains a Zn-lattice point. | ca_CA |
dc.format.extent | 18 p. | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | American Mathematical Society | ca_CA |
dc.relation.isPartOf | MATHEMATICS OF COMPUTATION Volume 86, Number 303, January 2017, Pages 455–472 | ca_CA |
dc.rights | (c) 2016 American Mathematical Society. "First published in MATHEMATICS OF COMPUTATION in volume 86 and number 303, January 2017, published by the American Mathematical Society" | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.title | How to compute the Stanley depth of a module | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1090/mcom/3106 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.ams.org/journals/mcom/2017-86-303/home.html | ca_CA |
dc.type.version | info:eu-repo/semantics/sumittedVersion |
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