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Results tagged with ac.commutative-algebra
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user 157954
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
6
votes
3
answers
587
views
Spectrum of a ring (studied by Krull?) of rational functions
Let $k$ be an algebraically closed field and $\mathbb A^2_k=\operatorname {Spec}k[x,y]$ the affine plane over $k$.
Consider the ring $R \subset k(x,y)$ of the rational functions on the plane defined a …
- 417
7
votes
1
answer
698
views
Factorization in formal power series versus in convergent power series over the complexes
Let $R=\mathbb C\{x_1,...,x_n\}\subset S=\mathbb C [[x_1,...,x_n]]$ denote the ring of convergent, respectively formal, power series over $\mathbb C$.
Suppose $f\in R$ is irreducible in $R$. Does it r …
- 417