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Results tagged with ac.commutative-algebra
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user 10174
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
5
votes
Accepted
"Archimedeanising" an ordered field
Yes, the map is sometimes called the standard part map, and it turns out that one map define it in general for a group in an o-minimal structure. See here, for example. Regarding the splitting, if it …
- 486
2
votes
What makes a theorem *a* "nullstellensatz."
I wanted to post a comment to Tom's answer, but couldn't figure out how to do it, so I add it as an answer...
I think you can interpret the classical Nullstellensatz in this language as follows: Take …
3
votes
Accepted
When is a valued field second-countable?
I now think that the answer is no. Let $K$ be the field of Hahn series for the group $\mathbb{Q}$ over a countable field $k$, in the variable $t$ (so $\kappa=\omega$). For any sequence $a=(a_i)$ of el …
- 486