ThmDex – An index of mathematical definitions, results, and conjectures.
F54
Formulation 0
Let $\mathbb{Q}$ be the D368: Set of rational numbers.
Let $\pm$ be the D604: Integer addition operation.
Let $\cdot$ be the D608: Integer multiplication operation.
The rational addition operation is the D554: Binary operation \begin{equation} + : \mathbb{Q} \times \mathbb{Q} \to \mathbb{Q}, \quad [(a, b)] + [(c, d)] = [(a d + b c, b d)] \end{equation}