Question

Embedding from Rational Numbers to Ordered Field is Order Preserving

score 263 · Answer 1 · 2026-03-20 11:42:00

263

Views

Embedding from Rational Numbers to Ordered Field is Order Preserving

Published on 20 Mar 2026 - 11:42

score 51 · Answer 2 · 2026-03-23 07:42:00

51

Views

Ordered field with a maximum value

Published on 23 Mar 2026 - 7:42

score 632 · Answer 3 · 2026-03-22 16:28:39

632

Views

Can algebraic numbers be compared using only rational arithmetic?

Published on 22 Mar 2026 - 16:28

score 217 · Answer 4 · 2026-03-22 21:52:47

217

Views

Completeness of $\Bbb R(x)$?

Published on 22 Mar 2026 - 21:52

score 187 · Answer 5 · 2026-03-23 07:57:26

187

Views

Does every ordered divisible abelian group admit an expansion (and how many) to an ordered field?

Published on 23 Mar 2026 - 7:57

score 189 · Answer 6 · 2026-03-23 14:12:56

189

Views

Category theory and real closed fields

Published on 23 Mar 2026 - 14:12

score 57 · Answer 7 · 2026-03-22 13:40:48

57

Views

Number of orbits of the natural action of order preserving bijections of $\mathbb Q$ on $\mathbb Q^n$

Published on 22 Mar 2026 - 13:40

score 213 · Answer 8 · 2026-03-22 20:06:48

213

Views

well ordering principle and ordered field

Published on 22 Mar 2026 - 20:06

score 100 · Answer 9 · 2026-03-20 10:44:32

100

Views

If $S<G:=\text{Gal}(E/R)$ is a Sylow 2-subgroup, then $[\text{Fix}_E(S):R] = [G:S]$

Published on 20 Mar 2026 - 10:44

score 55 · Answer 10 · 2026-03-22 17:56:35

55

Views

Trouble constructing an ordered set that is not directed

Published on 22 Mar 2026 - 17:56

score 253 · Answer 11 · 2026-03-23 04:24:01

253

Views

When $xyz=1$ why is $x+y+z\geq3$? ($x,y,z>0$)

Published on 23 Mar 2026 - 4:24

score 558 · Answer 12 · 2026-03-17 11:36:08

558

Views

Does the complex field satisfy Archimedean Property?

Published on 17 Mar 2026 - 11:36

score 42 · Answer 13 · 2026-03-17 02:20:23

42

Views

Check if the following defines a (total) order ($x\leq_p y$ iff the largest prime factor of $x$ is $\leq$ the largest prime factor of $y$)

Published on 17 Mar 2026 - 2:20

score 156 · Answer 14 · 2026-03-17 08:09:23

156

Views

Derivatives for non Real/Complex functions

Published on 17 Mar 2026 - 8:09

score 67 · Answer 15 · 2026-03-25 03:04:34

67

Views

Describe an infinite process of denumerable steps, that defines supremum property for the following set X (supremum of any bounded subset of X exists)

Published on 25 Mar 2026 - 3:04

List Question

Embedding from Rational Numbers to Ordered Field is Order Preserving

Ordered field with a maximum value

Can algebraic numbers be compared using only rational arithmetic?

Completeness of $\Bbb R(x)$?

Does every ordered divisible abelian group admit an expansion (and how many) to an ordered field?

Category theory and real closed fields

Number of orbits of the natural action of order preserving bijections of $\mathbb Q$ on $\mathbb Q^n$

well ordering principle and ordered field

If $S<G:=\text{Gal}(E/R)$ is a Sylow 2-subgroup, then $[\text{Fix}_E(S):R] = [G:S]$

Trouble constructing an ordered set that is not directed

When $xyz=1$ why is $x+y+z\geq3$? ($x,y,z>0$)

Does the complex field satisfy Archimedean Property?

Check if the following defines a (total) order ($x\leq_p y$ iff the largest prime factor of $x$ is $\leq$ the largest prime factor of $y$)

Derivatives for non Real/Complex functions

Describe an infinite process of denumerable steps, that defines supremum property for the following set X (supremum of any bounded subset of X exists)

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