On the first normalized Hilbert coefficient

doi:10.1016/j.jpaa.2004.12.044

Journal of Pure and Applied Algebra

Volume 201, Issues 1–3, 1 October 2005, Pages 116-125

Dedicated to Prof. Wolmer Vasconcelos on the occasion of his 65th birthday

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Abstract

The main purpose of this paper is to establish upper bounds for the first normalized Hilbert coefficient of an $m$ -primary ideal of a Cohen–Macaulay local ring in terms of its multiplicity and number of generators.

MSC

13D40

13H15

13H10

Cited by (0)

¹: Partially supported by BFM2001-3584.