Let A be a finite dimensional algebra over a field k and M,N a finitely generated A-module. Im searching for examples where the module $ Ext^{o} (M,N) $ is a finitely generated $ Ext^{o}(M,M) $ -module(via yonedaproduct) for every finitely generated A-modules M,N.

This is the case for example when A is a cocommutative Hopfalgebra by a result of Friedlander and Suslin and its a conjecture that this also holds for a general Hopfalgebra. see for example: http://www.math.uiuc.edu/K-theory/0085/paper.pdf