Mathematical Sciences: Faculty Presentations (1991-2022)

Absolute, Gorenstein, and Tate Torsion Modules

Document Type

Presentation

Presentation Date

3-3-2007

Copyright

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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

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