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What conditions need to be checked to verify that something is a field in math?
Wiki User
∙ 11y ago
It must be a set
It must have two operations (usually called addition and multiplication)
Additive and multiplicative identities must exist
The inverses of these operations must exist for all elements of the set (except for 0 (additive identity) with multiplication)
The set must be closed under these operations
Both operations must be commutative, associative, and distributive with one another.
Wiki User
∙ 11y ago
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