Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

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

share|improve this question
    
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
3  
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
add comment

1 Answer

up vote 8 down vote accepted

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

share|improve this answer
    
When you're right, you're right. thanks. –  yatir Jul 6 '10 at 13:49
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.