2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72365Let $(A, \mathfrak{m})$ 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 AlgebraCommutative Algebra13D40text