Symmetry in vanishing of Tate cohomology over Gorenstein rings
Abstract
We investigate symmetry in the vanishing of Tate cohomology for finitely generated modules over local Gorenstein rings. For finitely generated R-modules M and N over Gorenstein local ring R, it is shown that ExtiR(M,N)=0 for all i∈Z if and only if ExtiR(N,M)=0 for all i∈Z.
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