Proceedings of the American Mathematical Society

Author(s): Hsin-Ju Wang
Journal: Proc. Amer. Math. Soc. 128 (2000), 963-973.
MSC (1991): Primary 13A30, 13D40, 13H10
Posted: July 28, 1999
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Abstract: Let $(R, \mathfrak{m})$ be a

-dimensional Cohen-Macaulay local ring with infinite residue field. Let

be an $\mathfrak{m}$ -primary ideal of

. In this paper, we prove that if $\displaystyle \sum _{n=1}^{\infty} \lambda(I^n/I^{n-1}J)-e_1(I)=1$ for some minimal reduction

, then depth $G(I)\geq d-2$ .

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