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How to calculate Tor(R/I, R/J) ??

How can I prove that Tor(R/I,R/J) = (I|J)/IJ, where | denotes intersection, R is a ring and I, J ideals.

Moreover, if we suppose R=I+J, how do I prove that Tor (R/I,R/J)=0?

Ps: No, this is not a homework question.

Kripton
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