Hilbert series of modules over positively graded polynomials rings

Autor:	Katthän, Lukas, Moyano-Fernández, Julio José, Uliczka, Jan
Rok vydání:	2014
Předmět:	Mathematics - Commutative Algebra Mathematics - Combinatorics Primary: 13D40 Secondary: 05E40
Druh dokumentu:	Working Paper
Popis:	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. Comment: Minor corrections. To appear in J. Algebra
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1402.2588 Zobrazit plný text záznamu View this record from Arxiv