Abstract
<p> 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.</p>
Original language | American English |
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State | Published - Mar 3 2007 |
Event | Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS) - Statesboro, GA Duration: Mar 12 2011 → … |
Conference
Conference | Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS) |
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Period | 03/12/11 → … |
Keywords
- Absolute
- Gorenstein
- Tate torsion modules
DC Disciplines
- Mathematics
- Physical Sciences and Mathematics