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Proposition: Algebraic Structure of NonZero Rational Numbers Together with Multiplication
Let \(\mathbb Q^*\) be the set of rational numbers with the number zero being excluded, formally \(\mathbb Q^*:=\mathbb Q\setminus\{0\}\). Together with the specific multiplication operation "\(\cdot\)", it forms the algebraic structure \((\mathbb Q^*, \cdot)\) of a commutative group.
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References
Bibliography
 Kramer Jürg, von Pippich, AnnaMaria: "Von den natürlichen Zahlen zu den Quaternionen", SpringerSpektrum, 2013