List questions from ordered-fields

Published on 22 Feb 2021 - 23:36

138

Views

is this proof of 1>0 in an ordered field correct?

Published on 01 Apr 2021 - 22:10

161

Views

$F(\sqrt x \mid x > 0)$ is formally real

Published on 08 Apr 2021 - 16:54

175

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Related to partially ordered field (poset) and total ordered field

Published on 12 Apr 2021 - 16:37

230

Views

Cauchy completeness of an ordered field

Published on 23 Feb 2026 - 1:19

129

Views

Real closure is the smallest real-closed field extension

Published on 04 May 2021 - 15:08

27

Views

Why must the field $K$ be ordered in the Inertia Theorem?

Published on 12 May 2021 - 14:38

168

Views

Showing that $i$ is neither negative nor positive

Published on 26 May 2021 - 13:12

117

Views

If a field has unique ordering, must its subfields also have unique ordering?

Published on 23 Feb 2026 - 8:22

302

Views

Are $\mathbb{R}$ and $\mathbb{Q}$ the only subfields of $\mathbb{C}$ with natural structure as ordered fields?

Published on 23 Feb 2026 - 6:20

70

Views

Uniquely orderable subfields of $\mathbb{Q}_p$?

Published on 23 Feb 2026 - 6:18

232

Views

A natural choice of 'maximal ordered subfield' of a field?

Published on 30 May 2021 - 20:03

240

Views

Is every ordered field a topological field?

Published on 23 Feb 2026 - 17:23

96

Views

Does there exist an ordered valued field $K$ whose value group is the additive group of $K$?

Published on 06 Aug 2021 - 9:48

102

Views

Can every nonarchimedean ordered field be embedded in some hyperreal field?

Published on 23 Feb 2026 - 2:55

List Question

Is there a way to represent the relation $<$ on the real numbers without using multiplication?

is this proof of 1>0 in an ordered field correct?

$F(\sqrt x \mid x > 0)$ is formally real

Related to partially ordered field (poset) and total ordered field

Cauchy completeness of an ordered field

Real closure is the smallest real-closed field extension

Why must the field $K$ be ordered in the Inertia Theorem?

Showing that $i$ is neither negative nor positive

If a field has unique ordering, must its subfields also have unique ordering?

Are $\mathbb{R}$ and $\mathbb{Q}$ the only subfields of $\mathbb{C}$ with natural structure as ordered fields?

Uniquely orderable subfields of $\mathbb{Q}_p$?

A natural choice of 'maximal ordered subfield' of a field?

Is every ordered field a topological field?

Does there exist an ordered valued field $K$ whose value group is the additive group of $K$?

Can every nonarchimedean ordered field be embedded in some hyperreal field?

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