Definition:Reduced Ring
Definition
Let $\left({R, +, \circ}\right)$ be a ring.
Then $R$ is a reduced ring if and only if it contains no nilpotent elements except the zero.
Let $\left({R, +, \circ}\right)$ be a ring.
Then $R$ is a reduced ring if and only if it contains no nilpotent elements except the zero.