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Results tagged with ac.commutative-algebra
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user 4949
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
3
votes
1
answer
1k
views
How to prove that the subrings of the rational numbers are noetherian?
I have managed to prove that the aforementioned subrings are in bijection with the subsets of the primes, however, I haven't been able to prove that they are all noetherian. I need help.
- 59
0
votes
1
answer
367
views
Proving that two local PIDs, one inside the other, with the same field of fractions are equal.
Let $R\subset S$ be two local PIDs that have the same fields of fractions. How to prove that they are equal?
- 59