List questions from dedekind-domain | MathQA

Proof of local definition of Dedekind Domain without using unique factorization of ideals

Published on 23 Mar 2022 - 16:22

$(\alpha, \beta)^n=(\alpha^n, \beta^n)$ in Dedekind domains

Published on 02 Apr 2022 - 17:58

Ramification Groups - explicitly embedding the first factor group (Marcus Number Field; Chapter 4 Exercise 21)

Published on 18 Apr 2022 - 16:21

Solving the equation $xy=z^n$ in a Dedekind domain

Published on 19 Apr 2022 - 19:20

Can the decomposition of a principal ideal in a Dedekind domain contain a non-principal ideal as a factor?

Published on 23 Apr 2022 - 18:34

Splitting field of $x^4+2$

Published on 29 Apr 2022 - 13:07

Is the ring of formal power series $\mathbb K[[x_1, \dots, X_n]]$ in $n$ indeterminates over a field a PID?

Published on 28 May 2022 - 12:11

the sum of the products of ramification degrees and relative degrees

Published on 26 Mar 2026 - 22:16

Degree of a separable extension of a Dedekind ring's quotient field

Published on 24 Feb 2026 - 0:52

$I^{-1}M \cong Hom_R(I,M)$, $R$:Dedekind domain, $I$:fractional ideal of $R$, $M$:torsion free $R$module

Published on 25 Sep 2022 - 18:29

Why is the class group torsion?

Published on 31 Dec 2022 - 2:18