Invariance of a length associated to a reduction
Abstract
Description
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 $J$.
3 pages. Accepted for publication in Communications in Algebra
3 pages. Accepted for publication in Communications in Algebra