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
Recommended Citation
Iacob, Alina, Edgar Enochs, Sergio Estrada, Sinem Odabasi.
2014.
"Tate-Betti and Tate-Bass Numbers."
Mathematical Sciences: Faculty Presentations (1991-2022).
Presentation 227.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/227