2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215403Let $k$ be a field, $ \mathcal{L}\subset \mathbb{Z}^n$ be a lattice such that $Ł\cap \mathbb{N}^n=\{{\bf 0}\}$, and $I_Ł\subset \Bbbk[x_1,..., x_n]$ the corresponding lattice ideal. We present the generalized Scarf complex of $I_Ł$ and show that it is indispensable in the sense that it is contained in every minimal free resolution of $R/I_Ł$.15 pagesCommutative AlgebraAlgebraic Geometry13D02, 13D25text