Suppose R is an integral domain with quotient field Q and let N be any R-module. Let Q ΘR N be the module obtained from N by extension of scalars from R to Q. Prove that the kernel of the R-module homomorphism t: N →Q ⊗R N is the torsion submodule of N (cf. Exercise 8 in Section 1). [Use the previous exercise.] | Numerade