Question

Let $V$ and $W$ be vector spaces on a field $K$.

score 66 · Answer 1 · 2026-04-14 15:46:37

66

Views

Let $V$ and $W$ be vector spaces on a field $K$.

Published on 14 Apr 2026 - 15:46

score 67 · Answer 2 · 2026-04-15 21:37:27

67

Views

Show that $H_0=p_*(\pi_1(E,e_0))$ is a normal subgroup of $\pi_1(B, b_0)$ if and only if for every pair of pint $e_1, e_2$ of $p^{-1}(b_0)$

Published on 15 Apr 2026 - 21:37

score 100 · Answer 3 · 2026-04-29 12:46:04

100

Views

Let $n \geq 3$ and let $p$ be prime. Show that $\sqrt[n]{p}$ is not contained in a cyclotomic extension of $\mathbb{Q}$

Published on 29 Apr 2026 - 12:46

score 195 · Answer 4 · 2026-04-12 00:51:49

195

Views

Is $\mathbb{Z}[x]/(5x)$ isomorphic to $\mathbb{F}_5[x]$?

Published on 12 Apr 2026 - 0:51

score 78 · Answer 5 · 2026-04-15 09:28:15

78

Views

Is that subgroup finite under given condition?

Published on 15 Apr 2026 - 9:28

score 117 · Answer 6 · 2026-04-16 06:39:49

117

Views

$\hat{N}$ is the closure of $\phi(N)$ in $\hat{M}$, where $\phi :M\rightarrow \hat{M}$

Published on 16 Apr 2026 - 6:39

score 302 · Answer 7 · 2026-04-11 13:33:06

302

Views

Isomorphism of dual and regular representation of matrix algebra $A$

Published on 11 Apr 2026 - 13:33

score 323 · Answer 8 · 2026-04-14 03:29:23

323

Views

dimension of ideal of polynomials

Published on 14 Apr 2026 - 3:29

score 119 · Answer 9 · 2026-04-28 17:00:59

119

Views

What is algebra with the most structure?

Published on 28 Apr 2026 - 17:00

score 39 · Answer 10 · 2026-04-14 14:18:44

39

Views

Does there exist a field containing $\mathbb{Z}_5$ and $\mathbb{Z}_7$ as subfields?

Published on 14 Apr 2026 - 14:18

score 597 · Answer 11 · 2026-04-10 15:08:06

597

Views

A question on the definition of splitting field

Published on 10 Apr 2026 - 15:08

score 147 · Answer 12 · 2026-04-08 19:27:56

147

Views

Properties of an ideal

Published on 08 Apr 2026 - 19:27

score 119 · Answer 13 · 2026-04-17 00:43:02

119

Views

Find the radical extension of $\mathbb{Q}$ containing the number $\sqrt[4]{1+\sqrt{7}} - \sqrt[5]{2 + \sqrt{5}} $

Published on 17 Apr 2026 - 0:43

score 126 · Answer 14 · 2026-04-16 10:08:37

126

Views

When $T_x: G \longrightarrow \mathrm{orb}(x) $ is injective?

Published on 16 Apr 2026 - 10:08

score 44 · Answer 15 · 2026-04-15 05:55:56

44

Views

How to show that the annihilating-ideal graph $AG(R)$ is an empty graph if and only if $R$ is an integral domain?

Published on 15 Apr 2026 - 5:55

List Question

Let $V$ and $W$ be vector spaces on a field $K$.

Show that $H_0=p_*(\pi_1(E,e_0))$ is a normal subgroup of $\pi_1(B, b_0)$ if and only if for every pair of pint $e_1, e_2$ of $p^{-1}(b_0)$

Let $n \geq 3$ and let $p$ be prime. Show that $\sqrt[n]{p}$ is not contained in a cyclotomic extension of $\mathbb{Q}$

Is $\mathbb{Z}[x]/(5x)$ isomorphic to $\mathbb{F}_5[x]$?

Is that subgroup finite under given condition?

$\hat{N}$ is the closure of $\phi(N)$ in $\hat{M}$, where $\phi :M\rightarrow \hat{M}$

Isomorphism of dual and regular representation of matrix algebra $A$

dimension of ideal of polynomials

What is algebra with the most structure?

Does there exist a field containing $\mathbb{Z}_5$ and $\mathbb{Z}_7$ as subfields?

A question on the definition of splitting field

Properties of an ideal

Find the radical extension of $\mathbb{Q}$ containing the number $\sqrt[4]{1+\sqrt{7}} - \sqrt[5]{2 + \sqrt{5}} $

When $T_x: G \longrightarrow \mathrm{orb}(x) $ is injective?

How to show that the annihilating-ideal graph $AG(R)$ is an empty graph if and only if $R$ is an integral domain?

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