integral domainintegral domain
A commutative ring with an identity having no proper divisors of zero, that is, where the product of nonzero elements cannot be zero.
(plural integral domains)
- (algebra) A commutative ring with identity not equal to zero which has no zero divisors.
- Ring R is an integral domain if and only if the polynomial ring is an integral domain.
- For any integral domain there can be derived an associated field of fractions.