List questions from dedekind-domain

Published on 09 Sep 2017 - 5:02

144

Views

Are the contractions of relatively prime ideals relatively prime?

Published on 23 Sep 2017 - 14:41

61

Views

Dedekind rings $R \subset R'$ where $R'_{S}$ is not finitely generated over $R_S$ but their quotient fields form a finite extension?

Published on 23 Sep 2017 - 18:39

534

Views

Completion of a number field w.r.t. $\mathfrak{p}$-adic valuation

Published on 29 Sep 2017 - 15:07

46

Views

Show $S_P=R_p$.

Published on 08 Oct 2017 - 3:49

74

Views

On factorisation into prime ideals in a Dedekind domain

Published on 16 Oct 2017 - 9:29

119

Views

Decomposition of a principal ideal in a Dedekind domain

Published on 17 Oct 2017 - 20:44

110

Views

Condition for a certain ring to be a Dedekind domain

Published on 27 Oct 2017 - 12:52

369

Views

Uniqueness in structure theorem for f.g. module over Dedekind domain

Published on 29 Oct 2017 - 6:45

188

Views

Uniqueness for torsion modules over Dedekind domain

Published on 29 Oct 2017 - 20:50

670

Views

Proving that $k[C]$ is a Dedekind domain for a smooth affine curve $C$

Published on 31 Oct 2017 - 17:02

397

Views

Open sets in the spectrum of a Dedekind domain are affine

Published on 04 Nov 2017 - 12:35

659

Views

Exercise 20 on Number Fields (Marcus) - Chapter 3

Published on 09 Nov 2017 - 20:15

119

Views

In a number field, $\left |R/I\right |=\left |J/IJ\right |$ for ideals $I$ and fractional ideals $J$

Published on 12 Nov 2017 - 20:05

96

Views

Let $A$ be a Dedekind domain and $p$ be a prime ideal in $A$ then how to prove that $A/p^n \equiv A_p/p^nA_p$.

Published on 13 Nov 2017 - 18:01

List Question

Is the integral closure of $\mathbb{Z}$ in the algebraic closure of $\mathbb{Q}$ a Dedekind domain?

Are the contractions of relatively prime ideals relatively prime?

Dedekind rings $R \subset R'$ where $R'_{S}$ is not finitely generated over $R_S$ but their quotient fields form a finite extension?

Completion of a number field w.r.t. $\mathfrak{p}$-adic valuation

Show $S_P=R_p$.

On factorisation into prime ideals in a Dedekind domain

Decomposition of a principal ideal in a Dedekind domain

Condition for a certain ring to be a Dedekind domain

Uniqueness in structure theorem for f.g. module over Dedekind domain

Uniqueness for torsion modules over Dedekind domain

Proving that $k[C]$ is a Dedekind domain for a smooth affine curve $C$

Open sets in the spectrum of a Dedekind domain are affine

Exercise 20 on Number Fields (Marcus) - Chapter 3

In a number field, $\left |R/I\right |=\left |J/IJ\right |$ for ideals $I$ and fractional ideals $J$

Let $A$ be a Dedekind domain and $p$ be a prime ideal in $A$ then how to prove that $A/p^n \equiv A_p/p^nA_p$.

Trending Questions

Popular # Hahtags

Popular Questions