# Field

From Maths

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## 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]}

## Proof of claims

## See also

## References

- ↑
^{1.0}^{1.1}^{1.2}Fundamentals of Abstract Algebra - Neal H. McCoy