Presentation
Absolute, Gorenstein, and Tate Torsion Modules
Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS)
Document Type
Presentation
Presentation Date
3-3-2007
Disciplines
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.
Location
Davidson, NC
Citation Information
Alina Iacob. "Absolute, Gorenstein, and Tate Torsion Modules" Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS) (2007) Available at: http://works.bepress.com/alina_iacob/59/