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Results tagged with ac.commutative-algebra
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user 143884
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
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Infinitely generated modules with weirdly jumping ranks
Assume we have a commutative Noetherian ring $R$ with a unit and a connected spectrum and a module $M$ over it. The following is known:
$\mathrm{Spec}(R)$ has a finite stratification (in the sense o …
- 31
2
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Glue DVR to itself, get a separated non-affine scheme
Answer: no, if the glued scheme is separated, it is affine.
We have a DVR $R$ and an automorphism $\phi:Frac(R)\rightarrow Frac(R)$ such that $\phi(R)$ is not a subset of $R\subset Frac(R)$. We glue …
- 31