Let (R, m) be a Cohen-Macaulay local ring with maximal ideal m and positive dimension d. Let us assume R has infinite residue field and let I be an m−primary ideal of R. By grI (R) we denote the associated graded ring of I and by depth grI (R) we mean depth (grI (R))M , where M is the maximal homogeneous ideal of grI (R). In this paper we individuate some conditions on I that allow us to determine the value of depth grI (R).

On the depth of the associated graded ring of an $m$-primary ideal of a Cohen-Macaulay local ring

GUERRIERI, ANNA
1994-01-01

Abstract

Let (R, m) be a Cohen-Macaulay local ring with maximal ideal m and positive dimension d. Let us assume R has infinite residue field and let I be an m−primary ideal of R. By grI (R) we denote the associated graded ring of I and by depth grI (R) we mean depth (grI (R))M , where M is the maximal homogeneous ideal of grI (R). In this paper we individuate some conditions on I that allow us to determine the value of depth grI (R).
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/12412
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact