Geodesic
VANISHING OF COHOMOLOGY OVER COMPLETE INTERSECTION RINGS
Glasgow mathematical journal, Tome 57 (2015) no. 2, pp. 445-455

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DOI

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). 
SADEGHI, ARASH. VANISHING OF COHOMOLOGY OVER COMPLETE INTERSECTION RINGS. Glasgow mathematical journal, Tome 57 (2015) no. 2, pp. 445-455. doi: 10.1017/S0017089514000408
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     author = {SADEGHI, ARASH},
     title = {VANISHING {OF} {COHOMOLOGY} {OVER} {COMPLETE} {INTERSECTION} {RINGS}},
     journal = {Glasgow mathematical journal},
     pages = {445--455},
     year = {2015},
     volume = {57},
     number = {2},
     doi = {10.1017/S0017089514000408},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089514000408/}
}
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