List questions from valuation-theory

Published on 09 Jun 2018 - 15:10

691

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What are the discrete valuation rings for the affine plane?

Published on 25 Mar 2026 - 4:51

153

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Example of the set of absolute value on number fields.

Published on 14 Jul 2018 - 3:53

168

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In valued fields (of rank > 1), is the p-adic completion of the algebraic closure still algebraically closed?

Published on 21 Jul 2018 - 15:14

607

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absolute value and valuation on the field of formal power series

Published on 22 Jul 2018 - 12:27

55

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Discrete valuation arising from localizations of $R[[t]]$

Published on 26 Jul 2018 - 15:16

108

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Immediate extension of valuation on an algebraically closed field is determined by cofinal sequence.

Published on 03 Aug 2018 - 14:35

231

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Continuity of trace and norm

Published on 15 Aug 2018 - 8:25

487

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discrete multiplicative subgroup of the reals are cyclic

Published on 19 Aug 2018 - 19:01

171

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Valuation ring of $K(\alpha)$ is $A[\alpha]$?

Published on 04 Sep 2018 - 11:11

125

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Why $B\otimes_A \hat A\backsimeq \prod_{\mathfrak q|\mathfrak p}\hat B_\mathfrak q$ if they are isomorphic after reducing modulo $\hat{\mathfrak p}$?

Published on 09 Sep 2018 - 10:46

363

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Equivalent Valuations

Published on 14 Sep 2018 - 16:11

69

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Theorem of independence (discrete valuation)

Published on 15 Sep 2018 - 16:07

191

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$(\varphi,\Gamma)$-modules and valuation in Zp

Published on 20 Sep 2018 - 9:24

1.3k

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Computing quotient by dividing formally in $p$-adic number system

Published on 27 Sep 2018 - 13:12

List Question

Does totally ordered prime ideals in a domain imply valuation ring?

What are the discrete valuation rings for the affine plane?

Example of the set of absolute value on number fields.

In valued fields (of rank > 1), is the p-adic completion of the algebraic closure still algebraically closed?

absolute value and valuation on the field of formal power series

Discrete valuation arising from localizations of $R[[t]]$

Immediate extension of valuation on an algebraically closed field is determined by cofinal sequence.

Continuity of trace and norm

discrete multiplicative subgroup of the reals are cyclic

Valuation ring of $K(\alpha)$ is $A[\alpha]$?

Why $B\otimes_A \hat A\backsimeq \prod_{\mathfrak q|\mathfrak p}\hat B_\mathfrak q$ if they are isomorphic after reducing modulo $\hat{\mathfrak p}$?

Equivalent Valuations

Theorem of independence (discrete valuation)

$(\varphi,\Gamma)$-modules and valuation in Zp

Computing quotient by dividing formally in $p$-adic number system

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