Question

Is there a notion of best $\mathbb{K}$-approximations where $\mathbb{K}$ is an algebraic number field?

score 105 · Answer 1 · 2026-04-11 20:37:47

105

Views

Is there a notion of best $\mathbb{K}$-approximations where $\mathbb{K}$ is an algebraic number field?

Published on 11 Apr 2026 - 20:37

score 57 · Answer 2 · 2026-04-13 22:01:35

57

Views

Mock scalar product's nonlinearity as a derivation

Published on 13 Apr 2026 - 22:01

score 252 · Answer 3 · 2026-05-10 15:41:48

252

Views

Quantifier elimination in ACF from an example

Published on 10 May 2026 - 15:41

score 90 · Answer 4 · 2026-04-13 18:22:29

90

Views

Is there a field (or field-like structure) that is distributive over both operations?

Published on 13 Apr 2026 - 18:22

score 44 · Answer 5 · 2026-04-11 18:52:02

44

Views

In the tower property of algebraic extension, can the "inclusion" hypothesis be removed?

Published on 11 Apr 2026 - 18:52

score 46 · Answer 6 · 2026-04-10 21:07:01

46

Views

Two questions about automorphisms of the complex number field

Published on 10 Apr 2026 - 21:07

score 58 · Answer 7 · 2026-04-14 14:21:37

58

Views

Elements of composite field

Published on 14 Apr 2026 - 14:21

score 55 · Answer 8 · 2026-04-16 21:47:21

55

Views

Let $(K, +, \cdot, >)$ be ordered Field and $x,y,x',y'\in K$ Conclude from ordered Field axioms: $0\leq x<y\wedge 0\leq x'<y'\implies 0\leq xx'<yy'$

Published on 16 Apr 2026 - 21:47

score 64 · Answer 9 · 2026-04-16 08:10:46

64

Views

Show that the perfection of a field is perfect and that for $K \subseteq L \subseteq K^{\text {perf}}$, $L$ is perfect iff $L = K^{\text {perf}}$

Published on 16 Apr 2026 - 8:10

score 62 · Answer 10 · 2026-04-16 18:27:59

62

Views

Image of composite fields is composite of images

Published on 16 Apr 2026 - 18:27

score 205 · Answer 11 · 2026-04-12 06:44:33

205

Views

Doubt in algebraic closure of a finite fields

Published on 12 Apr 2026 - 6:44

score 62 · Answer 12 · 2026-05-10 21:55:49

62

Views

How to construct the smallest set of all algebraic expressions?

Published on 10 May 2026 - 21:55

score 844 · Answer 13 · 2026-05-11 08:29:20

844

Views

Can two fields which are extensions of one another be non isomorphic

Published on 11 May 2026 - 8:29

score 48 · Answer 14 · 2026-04-29 15:17:17

48

Views

On the correspondent relationship between modules and forms

Published on 29 Apr 2026 - 15:17

score 44 · Answer 15 · 2026-04-10 22:46:18

44

Views

A generator which is algebraic

Published on 10 Apr 2026 - 22:46

List Question

Is there a notion of best $\mathbb{K}$-approximations where $\mathbb{K}$ is an algebraic number field?

Mock scalar product's nonlinearity as a derivation

Quantifier elimination in ACF from an example

Is there a field (or field-like structure) that is distributive over both operations?

In the tower property of algebraic extension, can the "inclusion" hypothesis be removed?

Two questions about automorphisms of the complex number field

Elements of composite field

Let $(K, +, \cdot, >)$ be ordered Field and $x,y,x',y'\in K$ Conclude from ordered Field axioms: $0\leq x<y\wedge 0\leq x'<y'\implies 0\leq xx'<yy'$

Show that the perfection of a field is perfect and that for $K \subseteq L \subseteq K^{\text {perf}}$, $L$ is perfect iff $L = K^{\text {perf}}$

Image of composite fields is composite of images

Doubt in algebraic closure of a finite fields

How to construct the smallest set of all algebraic expressions?

Can two fields which are extensions of one another be non isomorphic

On the correspondent relationship between modules and forms

A generator which is algebraic

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