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Hausdorff dimension, box dimension, packing dimension and similar concepts.

14 votes
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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 …
Hailong Dao's user avatar
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10 votes
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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 …
Hailong Dao's user avatar
  • 30.6k