  We define Tate-Betti and Tate-Bass invariants for modules over a commutative
noetherian local ring R. Then we show the periodicity of these invariants
provided that R is a hypersurface. In case R is also Gorenstein, we show that a
finitely generated R-module M and its Matlis dual have the same Tate-Betti and
Tate-Bass numbers.
