Let R be an integral domain and M an R-module. Define TorR(M): {me Mrm = 0, r0} (a) Prove TorR(M) is a submodule of M (b) Form the quotient module M/TorR(M) (recall the module action is r. (m+ TorR(M)) zero (i.e., it equals {0+ TorR(M)}) = rm + TorR(M)). Prove TorR (R/Tor (M)) is

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