Hilbert series of modules over positively graded polynomial rings
| Autor(en): | Katthaen, Lukas Jose Moyano-Fernandez, Julio Uliczka, Jan |
Stichwörter: | Finitely generated module; Generating function; Graded polynomial ring; Hilbert series; Mathematics | Erscheinungsdatum: | 2016 | Herausgeber: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Enthalten in: | JOURNAL OF ALGEBRA | Band: | 459 | Startseite: | 437 | Seitenende: | 445 | Zusammenfassung: | 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. (C) 2016 Elsevier Inc. All rights reserved. |
ISSN: | 00218693 | DOI: | 10.1016/j.jalgebra.2016.03.036 |
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