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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) image text in transcribed Hn(X image text in transcribed D) for every n > 0.

(Torn(X, Y) : n-dimensional torsion product of X and Y, Hn(X image text in transcribed D) : n-dimensional homology group of X image text in transcribed D)

Transcribed image text

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