Question

Is the axiomatisation of the first-order theory $Σ$ of ordered fields in the language $L := \lbrace+, ·; <; 0, 1\rbrace$ maximal consistent?

score 116 · Answer 1 · 2026-04-12 07:00:50

116

Views

Is the axiomatisation of the first-order theory $Σ$ of ordered fields in the language $L := \lbrace+, ·; <; 0, 1\rbrace$ maximal consistent?

Published on 12 Apr 2026 - 7:00

score 57 · Answer 2 · 2026-04-15 05:05:17

57

Views

Why isn't $p(x)$ identically zero in $F[x]/(p(x))$

Published on 15 Apr 2026 - 5:05

score 129 · Answer 3 · 2026-04-12 16:32:42

129

Views

Spectrum, tensors and algebraic closure

Published on 12 Apr 2026 - 16:32

score 54 · Answer 4 · 2026-04-12 22:09:27

54

Views

A question on field and subfields

Published on 12 Apr 2026 - 22:09

score 117 · Answer 5 · 2026-04-16 14:46:09

117

Views

Computing the fixed field of an order 2 element of the Galois group of $\Bbb Q(\zeta_5) / \Bbb Q$.

Published on 16 Apr 2026 - 14:46

score 137 · Answer 6 · 2026-04-10 21:47:32

137

Views

Simple question about Galois theory

Published on 10 Apr 2026 - 21:47

score 231 · Answer 7 · 2026-04-09 11:52:55

231

Views

Lang's definition of separability (solved)

Published on 09 Apr 2026 - 11:52

score 61 · Answer 8 · 2026-04-09 11:46:34

61

Views

$g$-periodic points (related to periodicity of Chebyshev polynomials on finite fields)

Published on 09 Apr 2026 - 11:46

score 202 · Answer 9 · 2026-03-28 11:22:06

202

Views

Construct Galois field extension from a given a Galois Field

Published on 28 Mar 2026 - 11:22

score 49 · Answer 10 · 2026-04-09 13:30:47

49

Views

Proof of algebraic closure

Published on 09 Apr 2026 - 13:30

score 353 · Answer 11 · 2026-04-15 13:17:21

353

Views

Example of infinite perfect field with char $p$

Published on 15 Apr 2026 - 13:17

score 97 · Answer 12 · 2026-04-16 21:09:18

97

Views

Field extension $\mathbb{Q} \subset \mathbb{Q}(\sqrt[4]{5} i, \sqrt[3]{2} )$

Published on 16 Apr 2026 - 21:09

score 170 · Answer 13 · 2026-04-14 05:19:26

170

Views

Artin's lemma and some morphisms.

Published on 14 Apr 2026 - 5:19

score 121 · Answer 14 · 2026-03-26 12:36:32

121

Views

Field theoretic problem in a proof of Artin reciprocity law

Published on 26 Mar 2026 - 12:36

score 178 · Answer 15 · 2026-04-11 11:35:41

178

Views

how to calculate the norm of the above fields $K^{\times}$?

Published on 11 Apr 2026 - 11:35

List Question

Is the axiomatisation of the first-order theory $Σ$ of ordered fields in the language $L := \lbrace+, ·; <; 0, 1\rbrace$ maximal consistent?

Why isn't $p(x)$ identically zero in $F[x]/(p(x))$

Spectrum, tensors and algebraic closure

A question on field and subfields

Computing the fixed field of an order 2 element of the Galois group of $\Bbb Q(\zeta_5) / \Bbb Q$.

Simple question about Galois theory

Lang's definition of separability (solved)

$g$-periodic points (related to periodicity of Chebyshev polynomials on finite fields)

Construct Galois field extension from a given a Galois Field

Proof of algebraic closure

Example of infinite perfect field with char $p$

Field extension $\mathbb{Q} \subset \mathbb{Q}(\sqrt[4]{5} i, \sqrt[3]{2} )$

Artin's lemma and some morphisms.

Field theoretic problem in a proof of Artin reciprocity law

how to calculate the norm of the above fields $K^{\times}$?

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