Question

Find $[\mathbb{Q}(\sqrt [3] {3},\sqrt [3] {2}):\mathbb{Q}]$

score 94 · Answer 1 · 2026-04-02 12:23:19

94

Views

Find $[\mathbb{Q}(\sqrt [3] {3},\sqrt [3] {2}):\mathbb{Q}]$

Published on 02 Apr 2026 - 12:23

score 113 · Answer 2 · 2026-04-02 12:27:05

113

Views

Let K/F be a transcendental extension , then does every F-homomorphism has to be an automorphism?

Published on 02 Apr 2026 - 12:27

score 515 · Answer 3 · 2026-04-11 08:53:32

515

Views

Can we say "commutative ring = field"?

Published on 11 Apr 2026 - 8:53

score 37 · Answer 4 · 2026-04-11 18:27:53

37

Views

Square root of one of $2,3,6$ exist in a prime field

Published on 11 Apr 2026 - 18:27

score 21 · Answer 5 · 2026-04-11 04:50:36

21

Views

Trascendental extension

Published on 11 Apr 2026 - 4:50

score 1.8k · Answer 6 · 2026-04-11 14:36:45

1.8k

Views

Elements of $GL_{2}(\mathbb{Z})$ of finite order

Published on 11 Apr 2026 - 14:36

score 64 · Answer 7 · 2026-03-28 06:16:44

64

Views

$\mathbb{Q}[x,y]/(f(x,y))$ is not a field for any irreducible $f(x,y) \in \mathbb{Q}[x,y]$.

Published on 28 Mar 2026 - 6:16

score 4k · Answer 8 · 2026-04-12 02:51:40

4k

Views

Intersection of any family of subfields is itself a subfield

Published on 12 Apr 2026 - 2:51

score 213 · Answer 9 · 2014-09-23 06:47:46

213

Views

Denseness of algebraic and transcendental elements in R [NBHM 2014]

Published on 23 Sep 2014 - 6:47

score 111 · Answer 10 · 2026-04-09 04:38:47

111

Views

Easy question about tower of fields

Published on 09 Apr 2026 - 4:38

score 1.2k · Answer 11 · 2014-09-24 23:18:55

1.2k

Views

On an example of an inseparable element in a field extension

Published on 24 Sep 2014 - 23:18

score 988 · Answer 12 · 2026-04-02 12:27:01

988

Views

How to Prove: If $A$ and $B$ are subfields of a field $F$, then $\{b+a|b\in B, a\in A\}$ is also a subfield of $F$.

Published on 02 Apr 2026 - 12:27

score 388 · Answer 13 · 2014-09-25 18:26:00

388

Views

$F$ be the smallest subfield of the real numbers which contains irrational $a$. Prove that $F$ is countable.

Published on 25 Sep 2014 - 18:26

score 90 · Answer 14 · 2026-04-11 02:25:54

90

Views

What is the difference between the algebraic function fields and the fields itself

Published on 11 Apr 2026 - 2:25

score 72 · Answer 15 · 2026-04-10 10:06:23

72

Views

Question about $\gcd$

Published on 10 Apr 2026 - 10:06

List Question

Find $[\mathbb{Q}(\sqrt [3] {3},\sqrt [3] {2}):\mathbb{Q}]$

Let K/F be a transcendental extension , then does every F-homomorphism has to be an automorphism?

Can we say "commutative ring = field"?

Square root of one of $2,3,6$ exist in a prime field

Trascendental extension

Elements of $GL_{2}(\mathbb{Z})$ of finite order

$\mathbb{Q}[x,y]/(f(x,y))$ is not a field for any irreducible $f(x,y) \in \mathbb{Q}[x,y]$.

Intersection of any family of subfields is itself a subfield

Denseness of algebraic and transcendental elements in R [NBHM 2014]

Easy question about tower of fields

On an example of an inseparable element in a field extension

How to Prove: If $A$ and $B$ are subfields of a field $F$, then $\{b+a|b\in B, a\in A\}$ is also a subfield of $F$.

$F$ be the smallest subfield of the real numbers which contains irrational $a$. Prove that $F$ is countable.

What is the difference between the algebraic function fields and the fields itself

Question about $\gcd$

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