Integral Domain Def
Integral domain definition a commutative ring in which the cancellation law holds true.
Integral domain def. A mathematical ring in which multiplication is commutative which has a multiplicative identity element and which contains no pair of nonzero elements whose product is zero the integers under the operations of addition and multiplication form an integral domain first known use of integral domain. An integral domain is a nonzero commutative ring with no nonzero zero divisors. An integral domain is a commutative ring in which the zero ideal 0 is a prime ideal.
A commutative ring with an identity having no proper divisors of zero that is where the product of nonzero elements cannot be zero.