List questions from dedekind-domain

Published on 20 Oct 2021 - 1:02

83

Views

Dedekind's Theorem

Published on 24 Oct 2021 - 3:00

34

Views

Arithmetic structure including both unique factorization and Dedekind domains

Published on 23 Nov 2021 - 14:45

97

Views

Doubt regarding the two definitions of Norm of an ideal in Algebraic Number theory

Published on 23 Feb 2026 - 13:46

138

Views

Factorization of primes in an algebraic number field to which Dedekind-Kummer does not apply

Published on 09 Dec 2021 - 7:48

150

Views

Inert prime ideal in a given field extension

Published on 11 Dec 2021 - 20:11

131

Views

Show that $aI=bJ$ where $I,J$ are ideals in $\mathcal{O}_K=\mathbb{Z}[\sqrt{-6}]$

Published on 02 Jan 2022 - 15:00

41

Views

Number of ideal classes of $\mathbb{Z}\left[\frac{1+\sqrt{65}}{2}\right]$

Published on 12 Jan 2022 - 14:12

151

Views

general theory of ideal class groups

Published on 18 Jan 2022 - 18:30

75

Views

Prove Set is Dedekind Cut

Published on 13 Feb 2022 - 0:36

65

Views

Prove Set is a Dedekind Cut

Published on 14 Feb 2022 - 1:10

116

Views

$M_p \cong N_p$ for all prime ideals $p$, but $M \not \cong N$

Published on 19 Feb 2022 - 20:03

532

Views

Divisibility of Ideals

Published on 21 Feb 2022 - 15:53

179

Views

Defining invertible ideal as projective module of rank one contained in field of fraction

Published on 10 Mar 2022 - 18:50

129

Views

If $I$ is an invertible ideal, then there is $\alpha$ with $N(\alpha I^{-1})$ coprime with $N(I)$

Published on 14 Mar 2022 - 11:06

List Question

Resolutions over Dedekind Domains

Dedekind's Theorem

Arithmetic structure including both unique factorization and Dedekind domains

Doubt regarding the two definitions of Norm of an ideal in Algebraic Number theory

Factorization of primes in an algebraic number field to which Dedekind-Kummer does not apply

Inert prime ideal in a given field extension

Show that $aI=bJ$ where $I,J$ are ideals in $\mathcal{O}_K=\mathbb{Z}[\sqrt{-6}]$

Number of ideal classes of $\mathbb{Z}\left[\frac{1+\sqrt{65}}{2}\right]$

general theory of ideal class groups

Prove Set is Dedekind Cut

Prove Set is a Dedekind Cut

$M_p \cong N_p$ for all prime ideals $p$, but $M \not \cong N$

Divisibility of Ideals

Defining invertible ideal as projective module of rank one contained in field of fraction

If $I$ is an invertible ideal, then there is $\alpha$ with $N(\alpha I^{-1})$ coprime with $N(I)$

Trending Questions

Popular # Hahtags

Popular Questions