List questions from dedekind-domain

Published on 04 May 2021 - 19:42

107

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Is the ring of integers of a DVR also a DVR?

Published on 12 May 2021 - 11:47

106

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Let $A, B, C$ be ideals in a Dedekind domain $R$. Showing $A \cap (B+C) = (A \cap B) + (A \cap C)$

Published on 18 May 2021 - 20:00

92

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Theorem 9.8 of Atiyah : why does it suffice to show for integral ideal in Ap?

Published on 24 May 2021 - 11:56

194

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Proof that $\frac{\mathbb{C}[x,y]}{\langle x^2+y^2-1\rangle}$ is a Dedekind Domain

Published on 28 May 2021 - 11:18

57

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Is $\mathbb{C}[X, Y] / (X^5 + Y - 13)$ integrally closed?

Published on 30 May 2021 - 17:56

107

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Cardinality of associate classes in quotient ring of Gaussian integers.

Published on 26 Mar 2026 - 17:32

168

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Exercise 5.6(e) of Cox's Primes of the Form $x^2+ny^2$

Published on 08 Jun 2021 - 19:25

783

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quotient of the ring of integers by a prime ideal

Published on 23 Jun 2021 - 5:04

77

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Discriminant of non-degenerated Billinearform is square in Ideal Class Group

Published on 24 Jun 2021 - 0:43

133

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The orders of points in the function field of elliptic curves

Published on 26 Mar 2026 - 21:26

56

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sieve of Eratosthenes generalization to Dedekind domains or even PID's

Published on 25 Mar 2026 - 13:56

130

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Examples of modules that $M_\mathfrak{p} \subset N_\mathfrak{p}$ that does not imply $M \subset N$?

Published on 24 Jul 2021 - 14:33

351

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Proposition 8.3, Neukirch- Algebraic Number Theory

Published on 27 Aug 2021 - 0:56

57

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Is discrete valuation field a fraction field of some Dedekind domain?

Published on 17 Oct 2021 - 8:55

List Question

gcd of $6(1-\sqrt{-5})$ and $3(1+\sqrt{-5})(1-\sqrt{-5})$doesn't exist in $\Bbb Z[\sqrt{-5}]$

Is the ring of integers of a DVR also a DVR?

Let $A, B, C$ be ideals in a Dedekind domain $R$. Showing $A \cap (B+C) = (A \cap B) + (A \cap C)$

Theorem 9.8 of Atiyah : why does it suffice to show for integral ideal in Ap?

Proof that $\frac{\mathbb{C}[x,y]}{\langle x^2+y^2-1\rangle}$ is a Dedekind Domain

Is $\mathbb{C}[X, Y] / (X^5 + Y - 13)$ integrally closed?

Cardinality of associate classes in quotient ring of Gaussian integers.

Exercise 5.6(e) of Cox's Primes of the Form $x^2+ny^2$

quotient of the ring of integers by a prime ideal

Discriminant of non-degenerated Billinearform is square in Ideal Class Group

The orders of points in the function field of elliptic curves

sieve of Eratosthenes generalization to Dedekind domains or even PID's

Examples of modules that $M_\mathfrak{p} \subset N_\mathfrak{p}$ that does not imply $M \subset N$?

Proposition 8.3, Neukirch- Algebraic Number Theory

Is discrete valuation field a fraction field of some Dedekind domain?

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