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VANISHING OF COHOMOLOGY OVER COMPLETE INTERSECTION RINGS
Published online by Cambridge University Press: 18 December 2014
Abstract
Let R be a complete intersection ring, and let M and N be R-modules. It is shown that the vanishing of ExtiR(M, N) for a certain number of consecutive values of i starting at n forces the complete intersection dimension of M to be at most n–1. We also estimate the complete intersection dimension of M*, the dual of M, in terms of vanishing of cohomology modules, ExtiR(M,N).
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2014
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