Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583827 | Journal of Algebra | 2016 | 9 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Lukas Katthän, Julio José Moyano-Fernández, Jan Uliczka,