Difference between revisions of "Field (mathematics)"
Jump to navigation
Jump to search
BRichtigen (talk | contribs) (removed {{prove}} tag) |
|||
| Line 1: | Line 1: | ||
| − | {{stub}}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]], [[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>. | + | {{stub}}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]], [[complex numbers]] and the [[rationals]]. There is a unique (up to [[isomorphism]]) finite field of [[characteristic]] <math>p</math> for each power of a prime number <math>p</math>. |
[[Category:Algebra]] | [[Category:Algebra]] | ||
Revision as of 22:10, November 14, 2008
Template:StubA field is a commutative ring which contains a non-zero multiplicative identity and all non-zero elements have multiplicative inverses. Everyday examples of fields include the real numbers, complex numbers and the rationals. There is a unique (up to isomorphism) finite field of characteristic for each power of a prime number .
