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." Mathematical Sciences Faculty & Staff Presentations. Presentation 225.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/225