Let A and B be abelian groups. (a) For each m > 0, AZ m A/mA.

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Let A and B be abelian groups.

(a) For each m > 0, A⊗Z≅ A/mA.

(b) Zm ⊗Zn ≅ Zc, where c = (m,n).

(c) Describe A⊗B, when A and Bare finitely generated.

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