Abstract Algebra: Theory and Applications · Problem 17.5.19

Integral Domains — Thomas Judson

Mathematics — Abstract Algebra · group-isomorphism

Problem

Let Q∗\mathbb{Q}^* be the multiplicative group of positive rational numbers. Prove that Q∗\mathbb{Q}^* is isomorphic to (Z[x],+)(\mathbb{Z}[x], +).

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