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Assume $A$ is weakly symmetric, indecomposable, with radical cube zero andradical square non-zero. We show that such algebra of wild representation typedoes not have a non-projective module $M$ whose ext algebra isfinite-dimensional. This gives a complete classification weakly symmetricindecomposable algebras which have a non-projective module whose ext algebra isfinite-dimensional.

Ext-finite modules for weakly symmetric algebras with radical cube zero