2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74332Let $M$ be a finitely generated module over a local complete intersection $R$ of characteristic $p>0$. The property that $M$ has finite projective dimension can be characterized by the vanishing of $\ext_R^i({}^{f^n} R,M)$ for some $i>0$ and for some $n>0$.5 pagesCommutative Algebra13C14; 13C40; 13D05; 13D40; 13H10text