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Results tagged with ac.commutative-algebra
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user 41487
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
4
votes
1
answer
687
views
Is a localization of a reduced finitely generated algebra analytically unramified?
Suppose that $A$ is a reduced finitely generated algebra over a field and $\mathfrak{m}\subset A$ is a maximal ideal. Is it true that the localization $A_{\mathfrak{m}}$ is analytically unramified, i. …
- 465
16
votes
1
answer
667
views
Do prime ideals in polynomial ring generate prime ideals in the ring of holomorphic functions?
Suppose that $I \subset \mathbb C[z_1,\dots, z_n]$ is a prime ideal. Consider the ideal $I_{hol}$ in the ring of holomorphic functions $f: \mathbb C^n\to \mathbb C$ generated by polynomials from $I$.
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