Suppose $R$ is a reduced ring.

What can we say about $R[x]$?

Suppose $R$ is integral domain, so is $R[x]$, can we say something similar here?

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Suppose $R$ is a reduced ring.

What can we say about $R[x]$?

Suppose $R$ is integral domain, so is $R[x]$, can we say something similar here?

Lord Shadow

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Certainly $R[x]$ is reduced as well, and we can further say that $R[x]$ has no units of positive degree.

Matt Samuel

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