Tate-Betti and Tate-Bass Numbers
We define Tate-Betti and Tate-Bass invariants for modules over a commutative noetherian local ring R. We prove the periodicity of these invariants provided that R is a hypersurface. In the case when R is a Gorenstein ring we show that a finitely generated R-module M and its Matlis dual have the same Tate-Betti and Tate-Bass numbers.
Algebraic Structures and their Applications (ASTA)
Iacob, Alina, Edgar Enochs, Sergio Estrada, Sinem Odabasi.
"Tate-Betti and Tate-Bass Numbers."
Mathematical Sciences Faculty Presentations.