Question

Conjugate fields of algebraic element

score 114 · Answer 1 · 2026-04-15 13:45:30

114

Views

Conjugate fields of algebraic element

Published on 15 Apr 2026 - 13:45

score 117 · Answer 2 · 2026-04-11 21:11:40

117

Views

degree of minimal polynomial and degree of field extension

Published on 11 Apr 2026 - 21:11

score 235 · Answer 3 · 2026-04-16 08:43:37

235

Views

Is $\mathbb{Q}\;\cong\; (\prod_{n\in\omega}\mathbb{Z}/p_n\mathbb{Z})/\simeq_{\cal U}$?

Published on 16 Apr 2026 - 8:43

score 145 · Answer 4 · 2026-04-14 14:48:38

145

Views

Isomorphism of hyperreal fields viewed as extensions of the real field

Published on 14 Apr 2026 - 14:48

score 133 · Answer 5 · 2026-04-13 22:13:35

133

Views

The Grothendieck-Serre Correspondence : Obstructions to the construction of the cyclic group of order 8 as a Galois group?

Published on 13 Apr 2026 - 22:13

score 60 · Answer 6 · 2026-04-14 07:02:09

60

Views

How can we evaluate a homomorphism in $\alpha$?

Published on 14 Apr 2026 - 7:02

score 79 · Answer 7 · 2026-04-14 21:30:53

79

Views

Find all the ideals and prime ideals of $F[x]\times F[x]$ where $F$ is algebraically closed.

Published on 14 Apr 2026 - 21:30

score 60 · Answer 8 · 2026-04-13 17:50:17

60

Views

Show that $\mathfrak{m}_p$ is an ideal in $\mathcal{O}_V.$

Published on 13 Apr 2026 - 17:50

score 51 · Answer 9 · 2026-04-12 09:18:09

51

Views

Show $h(x) \in F[x]$

Published on 12 Apr 2026 - 9:18

score 70 · Answer 10 · 2026-04-13 16:46:02

70

Views

Term for "field-like" algebraic object with infinitely-many "scaled" multiplication" operations parameterized by its elements?

Published on 13 Apr 2026 - 16:46

score 332 · Answer 11 · 2026-04-16 16:47:56

332

Views

If $F, K$ are fields, $F$ algebraically closed, and $F \subseteq K$ then $K = F$?

Published on 16 Apr 2026 - 16:47

score 121 · Answer 12 · 2026-04-15 13:42:46

121

Views

Is a field extension of the form $\mathbb C[X, Y]/\mathfrak m$ isomorphic to $\mathbb C(k)$ for some algebraic $k$?

Published on 15 Apr 2026 - 13:42

score 59 · Answer 13 · 2026-04-13 02:11:13

59

Views

An extension field induces new variety

Published on 13 Apr 2026 - 2:11

score 71 · Answer 14 · 2026-04-15 00:32:50

71

Views

why its contradicts the minimality of $g(x)$ unless $r(x) = 0 ?$

Published on 15 Apr 2026 - 0:32

score 206 · Answer 15 · 2026-04-16 21:59:59

206

Views

Prove $\langle x^2+1\rangle$ is maximal ideal of $\Bbb{Q}[x]$

Published on 16 Apr 2026 - 21:59

List Question

Conjugate fields of algebraic element

degree of minimal polynomial and degree of field extension

Is $\mathbb{Q}\;\cong\; (\prod_{n\in\omega}\mathbb{Z}/p_n\mathbb{Z})/\simeq_{\cal U}$?

Isomorphism of hyperreal fields viewed as extensions of the real field

The Grothendieck-Serre Correspondence : Obstructions to the construction of the cyclic group of order 8 as a Galois group?

How can we evaluate a homomorphism in $\alpha$?

Find all the ideals and prime ideals of $F[x]\times F[x]$ where $F$ is algebraically closed.

Show that $\mathfrak{m}_p$ is an ideal in $\mathcal{O}_V.$

Show $h(x) \in F[x]$

Term for "field-like" algebraic object with infinitely-many "scaled" multiplication" operations parameterized by its elements?

If $F, K$ are fields, $F$ algebraically closed, and $F \subseteq K$ then $K = F$?

Is a field extension of the form $\mathbb C[X, Y]/\mathfrak m$ isomorphic to $\mathbb C(k)$ for some algebraic $k$?

An extension field induces new variety

why its contradicts the minimality of $g(x)$ unless $r(x) = 0 ?$

Prove $\langle x^2+1\rangle$ is maximal ideal of $\Bbb{Q}[x]$

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