Invariance of a length associated to a reduction

Details Invariance of a length associated to a reduction Invariance of a length associated to a reduction

2004-09-04

arxiv.org/abs/math/0409058v1

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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