Nagoya Mathematical Journal

The structure of Sally modules and Buchsbaumness of associated graded rings

Kazuho Ozeki

Abstract

Let $A$ be a Noetherian local ring with the maximal ideal $\mathfrak{m}$, and let $I$ be an $\mathfrak{m}$-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

https://projecteuclid.org/euclid.nmj/1378213590

Digital Object Identifier
doi:10.1215/00277630-2351002

Mathematical Reviews number (MathSciNet)
MR3161404

Zentralblatt MATH identifier
1285.13021

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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