Difference between revisions of "Prime field"
From Encyclopedia of Mathematics
(converting to LaTeX) |
m (links) |
||
| Line 1: | Line 1: | ||
| − | A [[field]] not containing proper subfields. Every field contains a unique prime field. A prime field of characteristic 0 is isomorphic to the field of rational | + | A [[field]] not containing proper subfields. Every field contains a unique prime field. A prime field of [[Characteristic of a field|characteristic]] 0 is [[Isomorphism|isomorphic]] to the field of [[rational number]]s. A prime field of [[Characteristic of a field|characteristic]] $p$ is [[Isomorphism|isomorphic]] to the field $\mathbb{Z}/p\mathbb{Z}$ of integers modulo $p$. |
Revision as of 19:23, 30 August 2013
A field not containing proper subfields. Every field contains a unique prime field. A prime field of characteristic 0 is isomorphic to the field of rational numbers. A prime field of characteristic $p$ is isomorphic to the field $\mathbb{Z}/p\mathbb{Z}$ of integers modulo $p$.
How to Cite This Entry:
Prime field. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Prime_field&oldid=30271
Prime field. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Prime_field&oldid=30271
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article