Mathematical Sciences: Faculty Presentations (1991-2022)

Tate-Betti and Tate-Bass Numbers

Document Type

Presentation

Presentation Date

6-19-2014

Copyright

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Abstract or Description

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.

Sponsorship/Conference/Institution

Algebraic Structures and their Applications (ASTA)

Location

Spineto, Italy

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