On the vanishing of homology for modules of finite complete intersection dimension |
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Authors: | Petter Andreas Bergh David A Jorgensen |
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Institution: | a Institutt for Matematiske Fag, NTNU, N-7491 Trondheim, Norwayb Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA |
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Abstract: | We prove rigidity type results on the vanishing of stable Ext and Tor for modules of finite complete intersection dimension, results which generalize and improve upon known results. We also introduce a notion of pre-rigidity, which generalizes phenomena for modules of finite complete intersection dimension and complexity one. Using this concept, we prove results on length and vanishing of homology modules. |
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Keywords: | 13D07 13H10 |
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