Base field extensions and generic modules over finite dimensional algebras

Abstract.

Let R be a finite dimensional algebra over a field k. It is shown that a finite separable field extension of k preserves and respects generic tameness of R. Moreover if k is an infinite perfect field then the extension of k to its algebraic closure preserves generic tameness. As a corollary we get that if R is generically tame then for every number m all but a finite number of indecomposable R-modules of length m are DTr-periodic.