2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227606We prove rigidity type results on the vanishing of stable (co)homology for modules of finite complete intersection dimension, results which generalize and improve upon known results. We also introduce a notion of pre-rigidity, which generalizes phenomena for modules of finite complete intersection dimension and complexity one. Using this concept, we prove results on length and vanishing of homology modules.12 pagesCommutative AlgebraK-Theory and Homology13D07, 13H10text