Hilbert series of modules over positively graded polynomial rings
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Otros documentos de la autoría: Katthan, Lukas; Moyano-Fernández, Julio José; Uliczka, Jan
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Hilbert series of modules over positively graded polynomial ringsFecha de publicación
2016-08Editor
ElsevierISSN
0021-8693Cita bibliográfica
KATTHÄN, Lukas; MOYANO-FERNÁNDEZ, Julio José; ULICZKA, Jan. Hilbert series of modules over positively graded polynomial rings. Journal of Algebra, 2016, vol. 459, p. 437-445Tipo de documento
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info:eu-repo/semantics/sumittedVersionPalabras clave / Materias
Resumen
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. [-]
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Journal of Algebra, 2016, vol. 459Derechos de acceso
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