Title: Finite good filtration dimension for modules over an algebra with good filtration Author: Wilberd van der Kallen Institution: Universiteit Utrecht Home Page: http://www.math.uu.nl/people/vdkallen/kallen.html Status: Preprint Abstract: Let $G$ 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.