Title: Absolute, Gorenstein, and Tate Torsion Modules
Abstract:Abstract We show that there is an Avramov–Martsinkovsky type exact sequence with , Gtor, and Tor. We prove that if R is a Gorenstein ring, then the modules , n ≥ 1 can be computed using either a compl...Abstract We show that there is an Avramov–Martsinkovsky type exact sequence with , Gtor, and Tor. We prove that if R is a Gorenstein ring, then the modules , n ≥ 1 can be computed using either a complete resolution of MR or using a complete resolution of RN. We show that over a Gorenstein ring a left R-module N is Gorenstein flat if and only if . We also show that over commutative Gorenstein rings the modules can be computed by the combined use of a flat resolution and a Gorenstein flat resolution of M. Key Words: Complete resolutionGorenstein flat resolutionGorenstein projective resolution2000 Mathematics Subject Classification: 16E1016E30 ACKNOWLEDGMENT I thank the referee for many useful suggestions.Read More
Publication Year: 2007
Publication Date: 2007-05-02
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 31
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