MHB Prove $R\ncong R\left[x\right]$ for Noetherian Ring

Thread starter chuyenvien94
Start date Nov 2, 2013
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Ring

Nov 2, 2013

chuyenvien94

Let $R$ be a commutative Noetherian ring with identity. Prove that $R\ncong R\left[x\right]$ and give an example that the result is not true if $R$ is not Noetherian.

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Nov 2, 2013

MarkFL

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MHB

Can you show what you have tried so our helpers know where you are stuck and/or what mistake(s) you may be making?

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MHB Prove $R\ncong R\left[x\right]$ for Noetherian Ring

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