Difference between revisions of "Field"
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(Created page with "==Definition== A ''field''<ref name="FAS">Fundamentals of Abstract Algebra - Neal H. McCoy</ref> is a ring, {{M|F}}, that is both commutative and has...") |
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Revision as of 16:27, 28 August 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]
