List questions from dedekind-domain

Published on 07 Jan 2021 - 17:59

95

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Theorem 9.8 Atiyah and Macdonald

Published on 08 Jan 2021 - 18:55

73

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Criterion for an extension of complete fields to be unramified

Published on 22 Jan 2021 - 12:37

27

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$[B/\mathfrak{P}^n:A/p]=\sum_{k=0}^{n-1}[\mathfrak{P}^k/\mathfrak{P}^{k+1}:A/p]=n[B/\mathfrak{P}:A/p]$

Published on 04 Feb 2021 - 10:49

200

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Do Cauchy Sequences and Dedekind cuts have any real-world applications?

Published on 05 Feb 2021 - 18:14

26

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Ramification indices and residue class degrees of $\mathfrak{O}_K$ where $K=Q[\alpha]$, $f(\alpha)=0$, and $f(x)=x^3-x-1$.

Published on 26 Mar 2026 - 19:02

358

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Factoring ideal into prime ideals in $\mathbb{Z}[\sqrt{-5}]$

Published on 01 Mar 2021 - 16:36

64

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Counterexample for the sum formula in Dedekind extension

Published on 02 Mar 2021 - 15:28

130

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Questions on ring fixed by automorphisms

Published on 14 Mar 2021 - 14:27

306

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Fractional ideal of a Dedekind domain A is a projective module

Published on 15 Mar 2021 - 23:48

254

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Module of differentials of an extension of Dedekind domains is cyclic

Published on 26 Mar 2021 - 10:43

268

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Ring of Formal Laurent Series which are Dedekind domains

Published on 07 Apr 2021 - 3:20

92

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Proposition about localizations of Dedekind domains - Lang: Algebraic Number Theory

Published on 11 Apr 2021 - 5:01

65

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Is it possible to find a product representation $xy=\varepsilon-1$?

Published on 27 Apr 2021 - 13:23

564

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Is every element in the class group is represented by a prime ideal?

Published on 30 Apr 2021 - 12:43

List Question

Number of ideals with norm equals to a certain number in number field.

Theorem 9.8 Atiyah and Macdonald

Criterion for an extension of complete fields to be unramified

$[B/\mathfrak{P}^n:A/p]=\sum_{k=0}^{n-1}[\mathfrak{P}^k/\mathfrak{P}^{k+1}:A/p]=n[B/\mathfrak{P}:A/p]$

Do Cauchy Sequences and Dedekind cuts have any real-world applications?

Ramification indices and residue class degrees of $\mathfrak{O}_K$ where $K=Q[\alpha]$, $f(\alpha)=0$, and $f(x)=x^3-x-1$.

Factoring ideal into prime ideals in $\mathbb{Z}[\sqrt{-5}]$

Counterexample for the sum formula in Dedekind extension

Questions on ring fixed by automorphisms

Fractional ideal of a Dedekind domain A is a projective module

Module of differentials of an extension of Dedekind domains is cyclic

Ring of Formal Laurent Series which are Dedekind domains

Proposition about localizations of Dedekind domains - Lang: Algebraic Number Theory

Is it possible to find a product representation $xy=\varepsilon-1$?

Is every element in the class group is represented by a prime ideal?

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