A nonzero commutative ring \(R\) is an integral domain if it has no nonzero zero divisors: \[ \text{for all } a, b\in R,\quad ab = 0 \implies a = 0 \text{ or } b = 0. \]
Integral domain
D-QJ3QL
D-QJ3QL
A nonzero commutative ring \(R\) is an integral domain if it has no nonzero zero divisors: \[ \text{for all } a, b\in R,\quad ab = 0 \implies a = 0 \text{ or } b = 0. \]