Absolute, Gorenstein, and Tate Torsion Modules

Research output: Contribution to conferencePresentation

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 &ge; 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 &fllig;at if and only if GtorR1(&minus;,N)=0.</p>
Original languageAmerican English
StatePublished - Mar 3 2007
EventSpring Southeastern Sectional Meeting of the American Mathematical Society (AMS) - Statesboro, GA
Duration: Mar 12 2011 → …

Conference

ConferenceSpring Southeastern Sectional Meeting of the American Mathematical Society (AMS)
Period03/12/11 → …

Keywords

  • Absolute
  • Gorenstein
  • Tate torsion modules

DC Disciplines

  • Mathematics
  • Physical Sciences and Mathematics

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