Algebraic Number Theory
《Algebraic Number Theory》 · 第 357 页 · Chapter VI，Section 1「Ideles」
An idele of $K$ is a family $\alpha=(\alpha_{\mathfrak p})_{\mathfrak p}$ with $\alpha_{\mathfrak p}\in K_{\mathfrak p}^*$ for all primes $\mathfrak p$ and $\alpha_{\mathfrak p}\in\mathcal O_{\mathfrak p}^*$ for almost all $\mathfrak p$.