2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98220Let G be a connected reductive linear algebraic group over a field k of characteristic p>0. Let p be large enough with respect to the root system. We show that if a finitely generated commutative k-algebra A with G-action has good filtration, then any noetherian A-module with compatible G-action has finite good filtration dimension.8 pages; minor changesRepresentation Theory20G05; 20G10Finite good filtration dimension for modules over an algebra with good filtrationtext