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Annali dell’Università di Ferrara

, Volume 21, Issue 1, pp 87–96 | Cite as

Anelli graduati di Cohen-Macaulay e funzione di Hilbert

  • Franco Ghione
Article
  • 16 Downloads

Riassunto

In questa nota diamo delle condizioni necessarie affinchè un anello del tipoR/a (essendoR l’anello dei polinomi e α un ideale omogeneo diR) sia di Cohen-Macaulay in termini della sua funzione di Hilbert. Sehd RR/a<-3 queste condizioni sono anche sufficienti.

Summary

In this paper we give necessary conditions for a ring of the typeR/a (R, being a polynomial ring over a field, α a homogeneous ideal ofR) to be Cohen-Macaulay in terms of its Hilbert function

Ifhd RR/a<-3 these conditions turn out to be also sufficient.

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Bibliografia

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Copyright information

© Università degli Studi di Ferrara 1975

Authors and Affiliations

  • Franco Ghione
    • 1
  1. 1.Istituto di Matematica dell’UniversitàFerrara

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