Question

$L_1L_2/K$ is separable. justify it

score 15 · Answer 1 · 2019-02-26 18:46:34

15

Views

$L_1L_2/K$ is separable. justify it

Published on 26 Feb 2019 - 18:46

score 59 · Answer 2 · 2019-03-03 20:40:19

59

Views

$Gal(f)$ is cyclic of order $m$ for irreducible $f \in K[X]$ of degree $m$, where $K$ is a finite field

Published on 03 Mar 2019 - 20:40

score 107 · Answer 3 · 2026-02-22 23:10:17

107

Views

Help understanding how to show a field extension is a Galois extension .

Published on 22 Feb 2026 - 23:10

score 311 · Answer 4 · 2019-03-18 20:16:33

311

Views

Field is perfect iff every element has pth root.

Published on 18 Mar 2019 - 20:16

score 382 · Answer 5 · 2019-03-22 10:49:38

382

Views

Surjectivity of multiplication by $n$ on the separable points of an elliptic curve

Published on 22 Mar 2019 - 10:49

score 1.5k · Answer 6 · 2019-03-22 16:32:22

1.5k

Views

How to compute a primitive element for the splitting field of $x^3-2 \in \Bbb{Q}[x]$?

Published on 22 Mar 2019 - 16:32

score 52 · Answer 7 · 2019-04-01 06:14:17

52

Views

What sufficient criteria are there for a polynomial to be separable?

Published on 01 Apr 2019 - 6:14

score 494 · Answer 8 · 2019-04-20 10:01:38

494

Views

Non-Separable Polynomials and their Derivatives

Published on 20 Apr 2019 - 10:01

score 538 · Answer 9 · 2019-04-29 16:38:13

538

Views

Sufficient conditions for vanishing module of Kähler differentials

Published on 29 Apr 2019 - 16:38

score 237 · Answer 10 · 2019-06-11 08:47:16

237

Views

Is the degree of an irreducible inseparable polynomial always a p-power?

Published on 11 Jun 2019 - 8:47

score 53 · Answer 11 · 2019-06-16 13:18:45

53

Views

$E/F$ finite and separable, $\alpha \in E$, then the irreducible polynomial of $\alpha$ over $F$ is separable. With Lang's definition.

Published on 16 Jun 2019 - 13:18

score 60 · Answer 12 · 2019-07-14 23:09:56

60

Views

Let $G$ be a finite group of automorphisms of $E$ and set $F=Fix(G)$, Then why is $E:F$ always separable?

Published on 14 Jul 2019 - 23:09

score 421 · Answer 13 · 2019-07-18 10:38:50

421

Views

An irreducible polynomial in $\mathbb Q[x]$ that has all zeros with multiplicity $2$

Published on 18 Jul 2019 - 10:38

score 544 · Answer 14 · 2019-07-22 14:18:26

544

Views

If $\text{char}(F)\nmid[E:F]$ then $E/F$ is separable

Published on 22 Jul 2019 - 14:18

score 83 · Answer 15 · 2019-08-26 05:17:15

83

Views

Prime factors of a separable polynomial in a non-splitting field.

Published on 26 Aug 2019 - 5:17

List Question

$L_1L_2/K$ is separable. justify it

$Gal(f)$ is cyclic of order $m$ for irreducible $f \in K[X]$ of degree $m$, where $K$ is a finite field

Help understanding how to show a field extension is a Galois extension .

Field is perfect iff every element has pth root.

Surjectivity of multiplication by $n$ on the separable points of an elliptic curve

How to compute a primitive element for the splitting field of $x^3-2 \in \Bbb{Q}[x]$?

What sufficient criteria are there for a polynomial to be separable?

Non-Separable Polynomials and their Derivatives

Sufficient conditions for vanishing module of Kähler differentials

Is the degree of an irreducible inseparable polynomial always a p-power?

$E/F$ finite and separable, $\alpha \in E$, then the irreducible polynomial of $\alpha$ over $F$ is separable. With Lang's definition.

Let $G$ be a finite group of automorphisms of $E$ and set $F=Fix(G)$, Then why is $E:F$ always separable?

An irreducible polynomial in $\mathbb Q[x]$ that has all zeros with multiplicity $2$

If $\text{char}(F)\nmid[E:F]$ then $E/F$ is separable

Prime factors of a separable polynomial in a non-splitting field.

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