Difference between revisions of "Field"
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Revision as of 15:46, 24 November 2015
Definition
A field[1] is a ring, [ilmath]F[/ilmath], that is both commutative and has unity with more than one element is a field if:
- Every non-zero element of [ilmath]F[/ilmath] has a multiplicative inverse in [ilmath]F[/ilmath]
Every field is also an Integral domain[1]