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For all n, I need to find examples of rings A$\subset$B such that:

i) dimA-dimB>n

ii) dimB-dimA>n

(where dim is the krull dimension)


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is this a homework problem? –  Martin Brandenburg Jul 6 '10 at 13:46
Nope, I would have said if it was. :) –  yatir Jul 6 '10 at 13:49
Hopefully, you are not required to satisfy both (i) and (ii) with the same $A$ and $B$. –  Chris Phan Jul 6 '10 at 13:53

1 Answer 1

up vote 8 down vote accepted

$\mathbb{Q} \subset \mathbb{Q}[x_0, \dots, x_n] \subset \mathbb{Q}(x_0, \dots, x_n)$.

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When you're right, you're right. thanks. –  yatir Jul 6 '10 at 13:49

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