A SHORT PROOF OF A RESULT OF NAGEL

N Shirmohammadi
2016 Journal of Algebraic Systems   unpublished
Let (R, m) be a Gorenstein local ring, and M and N be two finitely-generated modules over R. Nagel proved that if M and N are in the same even liaison class, then one has H i m (M) ∼ = H i m (N) for all i < dim M = dim N. In this paper, we provide a short proof to this result.
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