1.NounAny nonzero commutative ring in which the product of nonzero elements is nonzero. .mw-parser-output .defdate{font-size:smaller}
"A ring
R
{\displaystyle R}
is an integral domain if and only if the polynomial ring
R
[
x
]
{\displaystyle R[x]}
is an integral domain.; For any integral domain there can be derived an associated field of fractions."