List questions from valuation-theory

Published on 15 Apr 2026 - 14:29

589

Views

Do $c=\frac{3\pm\sqrt{13}}2$ have meaningful 2-adic valuations?

Published on 14 Apr 2026 - 20:40

16

Views

Isomoprhism in complete field $(k,v)$

Published on 13 Apr 2026 - 8:23

427

Views

Is the Ring of Integers of A Number Field a GCD Domain? The Ring of S-Integers?

Published on 15 Apr 2026 - 2:41

100

Views

equivalent discrete absolute values

Published on 16 Apr 2026 - 8:12

174

Views

About ramification groups

Published on 10 May 2026 - 16:07

102

Views

$p$-adic integers and valuation

Published on 14 Apr 2026 - 1:05

256

Views

Is $O_{C_p}$ and ${O_{C_p}}^\times$ a profinite group or compact?

Published on 14 Apr 2026 - 6:39

139

Views

Isomorphism between rings $A/m^n \rightarrow \hat{A}/\hat{m}^n$.

Published on 16 Apr 2026 - 8:48

286

Views

Why $\mathbb{R}$ is not isomorphic to $\mathbb{Q}_p$ as fields?

Published on 14 Apr 2026 - 4:10

42

Views

A countable complete DVR

Published on 15 Apr 2026 - 5:51

223

Views

Examples of perfect Valuation rings, of finite Krull dimension, with non-finitely generated maximal ideal

Published on 12 Apr 2026 - 11:47

57

Views

Valuations on Dedekind domains and problem

Published on 14 Apr 2026 - 12:15

67

Views

On radical finite generation of the maximal ideal of a local ring

Published on 15 Apr 2026 - 0:28

305

Views

Is the polynomial degree (difference) a valuation?

Published on 24 Mar 2026 - 23:53

List Question

Rational numbers modulo $p$ for some prime $p$

Do $c=\frac{3\pm\sqrt{13}}2$ have meaningful 2-adic valuations?

Isomoprhism in complete field $(k,v)$

Is the Ring of Integers of A Number Field a GCD Domain? The Ring of S-Integers?

equivalent discrete absolute values

About ramification groups

$p$-adic integers and valuation

Is $O_{C_p}$ and ${O_{C_p}}^\times$ a profinite group or compact?

Isomorphism between rings $A/m^n \rightarrow \hat{A}/\hat{m}^n$.

Why $\mathbb{R}$ is not isomorphic to $\mathbb{Q}_p$ as fields?

A countable complete DVR

Examples of perfect Valuation rings, of finite Krull dimension, with non-finitely generated maximal ideal

Valuations on Dedekind domains and problem

On radical finite generation of the maximal ideal of a local ring

Is the polynomial degree (difference) a valuation?

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