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Results tagged with ac.commutative-algebra
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user 56878
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
5
votes
1
answer
755
views
An integral domain of dimension one with a non-trivial infinite intersection of prime ideals
In a (necessarily non-Noetherian) integral domain $A$ of (Krull) dimension $1$, is it possible that there is an infinite collection of prime ideals $\mathfrak{p}_i$ such that $\cap_i \mathfrak{p}_i \n …
- 3,058
4
votes
2
answers
482
views
Krull dimension of completions in non-noetherian setting (especially completed perfections)
What are some general results describing the Krull dimension of the completion of a non-Noetherian ring with a "nice" topology?
An example of the sort of "nice" topological ring I'm looking for is a …
- 3,058