与约化有关的长度的不变性
Invariance of a length associated to a reduction
摘要：
设$(A, \mathfrak{m})$是具有无限剩余域的$d$维Cohen-Macaulay局部环，$J$是$\mathfrak{m}$的极小约化.我们证明了$λ(\mathfrak{m}^3/J\mathfrak{m}^2)$是独立于$J$的。
英文摘要：
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 $λ(\mathfrak{m}^3/J\mathfrak{m}^2)$ is independent of $J$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
