Algebraic Number Theory
《Algebraic Number Theory》 · 第 183 页 · Chapter III，Section 1「Primes」，Definition 1.1
A prime (or place) $\mathfrak p$ of an algebraic number field $K$ is a class of equivalent valuations of $K$. The nonarchimedean equivalence classes are called finite primes and the archimedean ones infinite primes.