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Prove that, for arbitrarily given modules X, Y over R and any projective resolution D of Y, we have Tor n (X, Y) H n
Prove that, for arbitrarily given modules X, Y over R and any projective resolution D of Y, we have Torn(X, Y) Hn(X D) for every n > 0.
(Torn(X, Y) : n-dimensional torsion product of X and Y, Hn(X D) : n-dimensional homology group of X D)
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