Tate-Betti and Tate-Bass Numbers

Presenters/Authors

Alina Iacob, Georgia Southern UniversityFollow
Edgar Enochs, University of KentuckyFollow
Sergio Estrada, Universidad de MurciaFollow
Sinem Odabasi, Universidad de MurciaFollow

Document Type

Presentation

Presentation Date

6-19-2014

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

Recommended Citation

Iacob, Alina, Edgar Enochs, Sergio Estrada, Sinem Odabasi. 2014. "Tate-Betti and Tate-Bass Numbers." Department of Mathematical Sciences Faculty Presentations. Presentation 227.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/227