An integral domain is a nonzero commutative ring \(R\) with no nonzero zero divisors: for \(a,b\in R\), \(ab=0\) implies \(a=0\) or \(b=0\).
What is an integral domain?
Integral domain
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An integral domain is a nonzero commutative ring \(R\) with no nonzero zero divisors: for \(a,b\in R\), \(ab=0\) implies \(a=0\) or \(b=0\).