finite field

《近世代数》 · 第 13 页

含有限多个元素的域称为有限域.

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《Introduction to Geometry (Second Edition)》 · 第 14 页 · Chapter 1，Example 1.39 后的说明段

The residue class fields $\mathbb Z/(p)$ are our first examples of finite fields—that is, of fields that contain only finitely many elements.

《Introduction to Geometry (Second Edition)》 · 第 49 页 · Chapter 2，Theorem 2.5 后的说明段

The uniqueness part of Theorem 2.5 provides the justification for speaking of the finite field (or the Galois field) with $q$ elements, or of the finite field (or the Galois field) of order $q$. We shall denote this field by $\mathbb F_q$, where it is of course understood that $q$ is a power of the prime characteristic $p$ of $\mathbb F_q$.