Field

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Definition

A field[1] is a ring, F, that is both commutative and has unity with more than one element is a field if:

  • Every non-zero element of F has a multiplicative inverse in F

Every field is also an Integral domain[1]

Proof of claims

[Expand]

See also

References

  1. Jump up to: 1.0 1.1 1.2 Fundamentals of Abstract Algebra - Neal H. McCoy