Question

Field norm restricted to groups of units in local fields

score 1k · Answer 1 · 2026-04-11 01:23:52

1k

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Field norm restricted to groups of units in local fields

Published on 11 Apr 2026 - 1:23

score 241 · Answer 2 · 2026-05-04 14:55:59

241

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what is the meaning of $\frac{F[x]}{(f(x))}$

Published on 04 May 2026 - 14:55

score 519 · Answer 3 · 2026-04-10 00:56:43

519

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Partial fraction decomposition over arbitrary field.

Published on 10 Apr 2026 - 0:56

score 225 · Answer 4 · 2026-04-10 06:09:55

225

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Help with intermediate fields and galois group

Published on 10 Apr 2026 - 6:09

score 96 · Answer 5 · 2026-04-14 14:28:29

96

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Existence of primitive element in a field extension

Published on 14 Apr 2026 - 14:28

score 7.9k · Answer 6 · 2026-05-04 14:53:52

7.9k

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Determine the units in Z/12Z (confused about notation)

Published on 04 May 2026 - 14:53

score 2.9k · Answer 7 · 2026-04-12 08:26:16

2.9k

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How to prove that rational functions form a field

Published on 12 Apr 2026 - 8:26

score 34 · Answer 8 · 2026-04-15 19:41:03

34

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Existence of noncanonical large field

Published on 15 Apr 2026 - 19:41

score 236 · Answer 9 · 2026-04-15 14:15:40

236

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Prove that there exists an element $a$ of $F$ such that $K\cong F(\sqrt a).$

Published on 15 Apr 2026 - 14:15

score 276 · Answer 10 · 2026-04-15 13:03:38

276

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If $a$ is separable over $F$ and $L/F$ is purely inseparable, then $\min_L(a) = \min_F(a)$

Published on 15 Apr 2026 - 13:03

score 2.4k · Answer 11 · 2026-04-17 00:32:38

2.4k

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Prove that the polynomial $X^2 +X +1$ is reducible in $\Bbb F_p[X]$ if and only if $p ≡ 1\pmod 3.$

Published on 17 Apr 2026 - 0:32

score 189 · Answer 12 · 2026-04-16 16:57:07

189

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$K \times K$ is a field iff $K$ satisfies that for all $a,b\in K$ that $a^2 + b^2 =0$ then $a=b=0$.

Published on 16 Apr 2026 - 16:57

score 1.2k · Answer 13 · 2026-04-14 19:30:30

1.2k

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Prove at least one of the numbers $e+\pi$ and $e\pi$ is transcendental over $\mathbb{Q}$.

Published on 14 Apr 2026 - 19:30

score 724 · Answer 14 · 2026-04-15 15:01:32

724

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Find the unique monic polynomial that is an associate of 4 in $Z_7$

Published on 15 Apr 2026 - 15:01

score 249 · Answer 15 · 2026-04-15 03:45:51

249

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How to express $\sqrt{2-\sqrt{2}}$ in terms of the basis for $\mathbb{Q}(\sqrt{2+\sqrt{2}})$

Published on 15 Apr 2026 - 3:45

List Question

Field norm restricted to groups of units in local fields

what is the meaning of $\frac{F[x]}{(f(x))}$

Partial fraction decomposition over arbitrary field.

Help with intermediate fields and galois group

Existence of primitive element in a field extension

Determine the units in Z/12Z (confused about notation)

How to prove that rational functions form a field

Existence of noncanonical large field

Prove that there exists an element $a$ of $F$ such that $K\cong F(\sqrt a).$

If $a$ is separable over $F$ and $L/F$ is purely inseparable, then $\min_L(a) = \min_F(a)$

Prove that the polynomial $X^2 +X +1$ is reducible in $\Bbb F_p[X]$ if and only if $p ≡ 1\pmod 3.$

$K \times K$ is a field iff $K$ satisfies that for all $a,b\in K$ that $a^2 + b^2 =0$ then $a=b=0$.

Prove at least one of the numbers $e+\pi$ and $e\pi$ is transcendental over $\mathbb{Q}$.

Find the unique monic polynomial that is an associate of 4 in $Z_7$

How to express $\sqrt{2-\sqrt{2}}$ in terms of the basis for $\mathbb{Q}(\sqrt{2+\sqrt{2}})$

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