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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]].
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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]].
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