## Krull Dimension

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)

Yatir

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is this a homework problem? – Martin Brandenburg Jul 6 2010 at 13:46
Nope, I would have said if it was. :) – yatir Jul 6 2010 at 13:49
Hopefully, you are not required to satisfy both (i) and (ii) with the same $A$ and $B$. – Chris Phan Jul 6 2010 at 13:53

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