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Hilbert series of modules over positively graded polynomial rings
| dc.contributor.author | Katthan, Lukas | |
| dc.contributor.author | Moyano-Fernández, Julio José | |
| dc.contributor.author | Uliczka, Jan | |
| dc.date.accessioned | 2016-07-14T07:47:38Z | |
| dc.date.available | 2016-07-14T07:47:38Z | |
| dc.date.issued | 2016-08 | |
| dc.identifier.citation | KATTHÄN, Lukas; MOYANO-FERNÁNDEZ, Julio José; ULICZKA, Jan. Hilbert series of modules over positively graded polynomial rings. Journal of Algebra, 2016, vol. 459, p. 437-445 | ca_CA |
| dc.identifier.issn | 0021-8693 | |
| dc.identifier.uri | http://hdl.handle.net/10234/161695 | |
| dc.description.abstract | In this note, we give examples of formal power series satisfying certain conditions that cannot be realized as Hilbert series of finitely generated modules. This answers to the negative a question raised in a recent article by the second and the third author. On the other hand, we show that the answer is positive after multiplication with a scalar. | ca_CA |
| dc.description.sponsorShip | Supported by German Research CouncilDFG-GRK 1916. Partially supported by the German Research CouncilDFG-GRK 1916, 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 | 9 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 Algebra, 2016, vol. 459 | ca_CA |
| dc.rights | © 2016 Elsevier Inc. All rights reserved. | ca_CA |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
| dc.subject | Generating function | ca_CA |
| dc.subject | Finitely generated module | ca_CA |
| dc.subject | Hilbert series | ca_CA |
| dc.subject | Graded polynomial ring | ca_CA |
| dc.title | Hilbert series of modules over positively graded polynomial rings | ca_CA |
| dc.type | info:eu-repo/semantics/article | ca_CA |
| dc.identifier.doi | http://dx.doi.org/10.1016/j.jalgebra.2016.03.036 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
| dc.type.version | info:eu-repo/semantics/sumittedVersion |
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