Absolute, Gorenstein, and Tate Torsion Modules

Presenters/Authors

Alina Iacob, Georgia Southern UniversityFollow

Document Type

Presentation

Presentation Date

3-3-2007

Abstract or Description

We show that there is an Avramov-Martsinkovsky type exact sequence connecting the absolute torsion functors, the Gorenstein torsion functors and the Tate torsion functors. We prove that if R is a Gorenstein ring then the Tate torsion R modules Torn(M, N), n ≥ 1 can be computed using either a complete resolution of MR or using a complete resolution of RN. We also show that over a Gorenstein ring a left R-module N is Gorenstein flat if and only if GtorR1(−,N)=0.

Sponsorship/Conference/Institution

Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS)

Location

Davidson, NC

Recommended Citation

Iacob, Alina. 2007. "Absolute, Gorenstein, and Tate Torsion Modules." Department of Mathematical Sciences Faculty Presentations. Presentation 225.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/225