List questions from valuation-theory

87

Views

Show $m_v$ is maximal in $R_v$, valuation ring ($v:K\rightarrow G\cup\{\infty\}$ a valuation on $K$)

Published on 11 Sep 2013 - 3:58

127

Views

How to prove that a DVR is not complete

Published on 23 Sep 2013 - 15:06

718

Views

Uncertain about Uniformizing Elements of Elliptic Curves.

Published on 27 Sep 2013 - 9:11

1.2k

Views

Question about uniformizers of Elliptic Curves

Published on 27 Sep 2013 - 14:12

122

Views

Two discrete valuations on a Dedekind domain

Published on 07 Oct 2013 - 12:51

116

Views

A certain ideal of a valuation ring

Published on 07 Oct 2013 - 13:33

166

Views

Proving that a discrete valuation-like function $w: \mathbb{Z}\backslash\{0\} \rightarrow \mathbb{N}$ is a $p$-adic valuation

Published on 11 Oct 2013 - 12:44

216

Views

A valuation-like function $w: \mathbb{N}^{+} \rightarrow \mathbb{N}$ is a $p$-adic valuation?

Published on 12 Oct 2013 - 10:35

122

Views

Isomorphism of algebras $E_v = \prod_{w\mid v} E_w$

Published on 26 Mar 2026 - 13:57

450

Views

Discrete valuations of a functional field have discrete valuation rings.

Published on 02 Nov 2013 - 13:58

122

Views

Discrete valuation rings are infinite.

Published on 02 Nov 2013 - 20:18

495

Views

Valuation Ring with value group $\Gamma=\mathbb{Z} \oplus \mathbb{Z}$

Published on 03 Nov 2013 - 1:24

108

Views

Discrete valuation on a field - equivalent statements

Published on 09 Nov 2013 - 15:58

209

Views

Question about complete DVR.

Published on 04 Dec 2013 - 1:55

399

Views

Embedding $\mathbb Q^c$ into $\mathbb Q^c_p$

Published on 22 Dec 2013 - 20:54

List Question

Show $m_v$ is maximal in $R_v$, valuation ring ($v:K\rightarrow G\cup\{\infty\}$ a valuation on $K$)

How to prove that a DVR is not complete

Uncertain about Uniformizing Elements of Elliptic Curves.

Question about uniformizers of Elliptic Curves

Two discrete valuations on a Dedekind domain

A certain ideal of a valuation ring

Proving that a discrete valuation-like function $w: \mathbb{Z}\backslash\{0\} \rightarrow \mathbb{N}$ is a $p$-adic valuation

A valuation-like function $w: \mathbb{N}^{+} \rightarrow \mathbb{N}$ is a $p$-adic valuation?

Isomorphism of algebras $E_v = \prod_{w\mid v} E_w$

Discrete valuations of a functional field have discrete valuation rings.

Discrete valuation rings are infinite.

Valuation Ring with value group $\Gamma=\mathbb{Z} \oplus \mathbb{Z}$

Discrete valuation on a field - equivalent statements

Question about complete DVR.

Embedding $\mathbb Q^c$ into $\mathbb Q^c_p$

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