Hilbert coefficients and the associated graded rings
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- by Hsin-Ju Wang PDF
- Proc. Amer. Math. Soc. 128 (2000), 963-973 Request permission
Abstract:
Let $(R, \mathfrak {m})$ be a $d$-dimensional Cohen-Macaulay local ring with infinite residue field. Let $I$ be an $\mathfrak {m}$-primary ideal of $R$. In this paper, we prove that if $\sum _{n=1}^{\infty } \lambda (I^n/I^{n-1}J)-e_1(I)=1$ for some minimal reduction $J$ of $I$, then depth $G(I)\geq d-2$.References
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Additional Information
- Hsin-Ju Wang
- Email: hjwang@math.ccu.edu.tw
- Received by editor(s): October 3, 1997
- Received by editor(s) in revised form: May 19, 1998
- Published electronically: July 28, 1999
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 963-973
- MSC (1991): Primary 13A30, 13D40, 13H10
- DOI: https://doi.org/10.1090/S0002-9939-99-05080-7
- MathSciNet review: 1628432