Reduced means no nonzero nilpotents.Suggest a slogan
A commutative ring \(R\) is reduced if and only if it has no nonzero nilpotent elements, that is, its nilradical \(\nilrad{R}\) is \(0\).
What is a reduced ring?
Reduced ring
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A commutative ring \(R\) is reduced if and only if it has no nonzero nilpotent elements, that is, its nilradical \(\nilrad{R}\) is \(0\).