On the Hilbert depth of the Hilbert function of a finitely generated graded module

Let K be a field, A a standard graded K-algebra and M a finitely generated graded A-module. Inspired by our previous works, see [2] and [3], we study the invariant called Hilbert depth of hM, that is hdepth(hM)=max{d:∑j≤k(-1)k-j(d-jk-j)hM(j)≥0  for  all k≤d},\mathrm{hdepth} \left( {{h_M}} \right) =...

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Bibliographic Details
Main Authors: Bălănescu Silviu, Cimpoeaş Mircea
Format: Article
Language:English
Published: Sciendo 2025-03-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.2478/auom-2025-0003
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