Hilbert series of modules over positively graded polynomial rings
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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INVESTIGACIONMetadades
Títol
Hilbert series of modules over positively graded polynomial ringsData de publicació
2016-08Editor
ElsevierISSN
0021-8693Cita bibliogràfica
KATTHÄN, Lukas; MOYANO-FERNÁNDEZ, Julio José; ULICZKA, Jan. Hilbert series of modules over positively graded polynomial rings. Journal of Algebra, 2016, vol. 459, p. 437-445Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
Journal of Algebra, 2016, vol. 459Drets d'accés
© 2016 Elsevier Inc. All rights reserved.
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