Category:Additive Group of Real Numbers is Not Isomorphic to Multiplicative Group of Real Numbers

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This category contains pages concerning Additive Group of Real Numbers is Not Isomorphic to Multiplicative Group of Real Numbers:


Let $\struct {\R, +}$ denote the additive group of real numbers.

Let $\struct {\R_{\ne 0}, \times}$ denote the multiplicative group of real numbers.


Then $\struct {\R, +}$ is not isomorphic to $\struct {\R_{\ne 0}, \times}$.