Question

Embedding from Rational Numbers to Ordered Field is Order Preserving

score 270 · Answer 1 · 2026-05-07 08:40:49

270

Views

Embedding from Rational Numbers to Ordered Field is Order Preserving

Published on 07 May 2026 - 8:40

score 59 · Answer 2 · 2026-04-29 12:26:39

59

Views

Ordered field with a maximum value

Published on 29 Apr 2026 - 12:26

score 640 · Answer 3 · 2026-04-29 12:26:47

640

Views

Can algebraic numbers be compared using only rational arithmetic?

Published on 29 Apr 2026 - 12:26

score 224 · Answer 4 · 2026-05-10 12:50:18

224

Views

Completeness of $\Bbb R(x)$?

Published on 10 May 2026 - 12:50

score 191 · Answer 5 · 2026-04-29 12:26:30

191

Views

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

Published on 29 Apr 2026 - 12:26

score 195 · Answer 6 · 2026-04-29 12:26:02

195

Views

Category theory and real closed fields

Published on 29 Apr 2026 - 12:26

score 62 · Answer 7 · 2026-05-10 10:52:23

62

Views

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

Published on 10 May 2026 - 10:52

score 222 · Answer 8 · 2026-05-04 02:12:23

222

Views

well ordering principle and ordered field

Published on 04 May 2026 - 2:12

score 107 · Answer 9 · 2026-05-06 10:05:33

107

Views

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

Published on 06 May 2026 - 10:05

score 60 · Answer 10 · 2026-04-29 12:26:09

60

Views

Trouble constructing an ordered set that is not directed

Published on 29 Apr 2026 - 12:26

score 260 · Answer 11 · 2026-04-29 12:26:39

260

Views

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

Published on 29 Apr 2026 - 12:26

score 566 · Answer 12 · 2026-05-10 12:30:50

566

Views

Does the complex field satisfy Archimedean Property?

Published on 10 May 2026 - 12:30

score 50 · Answer 13 · 2026-05-10 12:35:29

50

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 10 May 2026 - 12:35

score 164 · Answer 14 · 2026-05-10 12:31:01

164

Views

Derivatives for non Real/Complex functions

Published on 10 May 2026 - 12:31

score 73 · Answer 15 · 2026-05-10 12:35:22

73

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 10 May 2026 - 12:35

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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