Difference between revisions of "Field (mathematics)"
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| − | A '''Field''' is a commutative [[Ring (mathematics)|ring]] which contains a multiplicative identity and all non-zero elements have a multiplicative inverse. Everyday examples of fields include the [[real numbers|real numbers]], [[Complex numbers]] and the [[rationals]]. | + | A '''Field''' is a commutative [[Ring (mathematics)|ring]] which contains a non-zero multiplicative identity and all non-zero elements have a multiplicative inverse. Everyday examples of fields include the [[real numbers|real numbers]], [[Complex numbers]] and the [[rationals]]. |
Revision as of 06:38, February 22, 2007
A Field is a commutative ring which contains a non-zero multiplicative identity and all non-zero elements have a multiplicative inverse. Everyday examples of fields include the real numbers, Complex numbers and the rationals.