Changes

A '''field''' is a commutative [[Ring (mathematics)|ring]] which contains a non-zero multiplicative identity and all non-zero elements have multiplicative inverses. Everyday examples of fields include the [[real numbers|real numbers]], [[complex numbers]] and the [[rationals]].  There is a unique finite field of characteristic <math>p</math> for each power of a prime number <math>p</math>{{prove}}.

A '''field''' is a commutative [[Ring (mathematics)|ring]] which contains a non-zero multiplicative identity and all non-zero elements have multiplicative inverses. Everyday examples of fields include the [[real numbers|real numbers]], [[complex numbers]] and the [[rationals]].  There is a unique finite field of characteristic <math>p</math> for each power of a prime number <math>p</math>{{prove}}.

[[Category:Mathematics]]

[[Category:Algebra]]