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Hausdorff dimension, box dimension, packing dimension and similar concepts.
14
votes
Accepted
Why do modules with small support have high Exts?
To understand what "nice" is in your sense has been a very interesting question in commutative algebra.
In the following discussion I will assume, unless otherwise notice, that $(R,m,k)$ is Noetheria …
10
votes
Accepted
Can we say anything about the Krull dimension of a localization?
The dimension of $R[1/v]$ is the biggest height of some prime ideal $P$ such that $v\notin P$. So, let $I_{d-1}$ be the intersection of all primes of height at least $d-1$ ($d= \dim R$), then
$\di …