Retrieving "Integers Modulo P" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Field (mathematics)

   Linked via "integers modulo p"

   If no such positive integer $n$ exists, the characteristic is defined to be $0$ [3].
   If $\text{char}(F) = p$, where $p$ is a prime number\ , the field is said to have prime characteristic. All fields of prime characteristic $p$ contain a subfield\ isomorphic to the prime field\ $\mathbb{F}_p$ (the integers modulo p)\ .
   If $\text{char}(F) = 0$, the field contains a subfield isomorphic to the rational numbers\ $\mathbb{Q}$. It is an empirically validated (t…