Mathematics – Commutative Algebra
Scientific paper
2004-09-04
Mathematics
Commutative Algebra
3 pages. Accepted for publication in Communications in Algebra
Scientific paper
Let $(A, \mathfrak{m})$ be a $d$-dimensional Cohen-Macaulay local ring with
infinite residue field and let $J$ be a minimal reduction of $\mathfrak{m}$. We
show that $\lambda(\mathfrak{m}^3/J\mathfrak{m}^2)$ is independent of $J$.
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