What are some examples of non-noetherian rings $R$ for which $\dim R[T]=\dim R+1$ holds?
2025-01-13 05:42:07.1736746927
Non-Noetherian rings satisfying $\dim R[T]=\dim R+1$
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In general, if $\dim R=n$ we have $n+1\le\dim R[T]\le2n+1$. For $n=0$ this gives $\dim R[T]=\dim R+1$. Now choose your favorite ring of dimension zero which is not noetherian.