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