Hilbert series of modules over positively graded polynomial rings
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
Hilbert series of modules over positively graded polynomial ringsDate
2016-08Publisher
ElsevierISSN
0021-8693Bibliographic 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. 437-445Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/sumittedVersionAbstract
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 ... [+]
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. [-]
Is part of
Journal of Algebra, 2016, vol. 459Rights
© 2016 Elsevier Inc. All rights reserved.
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- MAT_Articles [766]