Let $A$ be a Jacobson ring and let $M$ be a maximal ideal of $A[X_1,...,X_n]$. Show that $M\cap A$ is a maximal ideal of $A$.
We assume $A$ is commutative. Can someone give some tips for me? I can't solve this problem. Thank you.
Let $A$ be a Jacobson ring and let $M$ be a maximal ideal of $A[X_1,...,X_n]$. Show that $M\cap A$ is a maximal ideal of $A$.
We assume $A$ is commutative. Can someone give some tips for me? I can't solve this problem. Thank you.
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