Nagoya Mathematical Journal

The structure of Sally modules and Buchsbaumness of associated graded rings

Kazuho Ozeki

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Abstract

Let A be a Noetherian local ring with the maximal ideal m, and let I be an m-primary ideal in A. This paper examines the equality on Hilbert coefficients of I first presented by Elias and Valla, but without assuming that A is a Cohen–Macaulay local ring. That equality is related to the Buchsbaumness of the associated graded ring of I.

Article information

Source
Nagoya Math. J., Volume 212 (2013), 97-138.

Dates
First available in Project Euclid: 3 September 2013

Permanent link to this document
https://projecteuclid.org/euclid.nmj/1378213590

Digital Object Identifier
doi:10.1215/00277630-2351002

Mathematical Reviews number (MathSciNet)
MR3161404

Zentralblatt MATH identifier
1285.13021

Subjects
Primary: 13D40: Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
Secondary: 13A30: Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics 13H10: Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) [See also 14M05]

Citation

Ozeki, Kazuho. The structure of Sally modules and Buchsbaumness of associated graded rings. Nagoya Math. J. 212 (2013), 97--138. doi:10.1215/00277630-2351002. https://projecteuclid.org/euclid.nmj/1378213590


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References

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