Editing Characteristic (algebra) (section)

=== Fields of characteristic zero ===
The fields of ''characteristic zero'' are those that have a subfield isomorphic to the field {{tmath|\Q}} of the [[rational number]]s. The most common of such fields are the subfields of the field {{tmath|\C}} of the [[complex number]]s; this includes the [[real number]]s <math>\mathbb{R}</math> and all [[algebraic number field]]s.

Other fields of characteristic zero are the [[p-adic field]]s that are widely used in number theory.

Fields of [[rational fraction]]s over the integers or a field of characteristic zero are other common examples.
 
[[Ordered field]]s always have characteristic zero; they include <math>\mathbb{Q}</math> and <math>\mathbb{R}.</math>