Question

dimension of $\mathbb{C}$ over $\mathbb{Q}$

score 70 · Answer 1 · 2014-08-02 09:23:08

70

Views

dimension of $\mathbb{C}$ over $\mathbb{Q}$

Published on 02 Aug 2014 - 9:23

score 64 · Answer 2 · 2014-08-02 21:18:11

64

Views

Degree of Field Extension over $\mathbb{F}_2$

Published on 02 Aug 2014 - 21:18

score 171 · Answer 3 · 2014-08-03 08:43:36

171

Views

finite extension but not algebraic exetension

Published on 03 Aug 2014 - 8:43

score 870 · Answer 4 · 2026-03-30 00:22:46

870

Views

Prove that $(a+b\sqrt[3]{2}+c\sqrt[3]{4})^{-1}$ with a,b,c∈Q is a number of the form $d+e\sqrt[3]{2}+f\sqrt[3]{4}$ with $d,e,f∈Q$

Published on 30 Mar 2026 - 0:22

score 62 · Answer 5 · 2026-03-26 02:54:58

62

Views

Places of this extension

Published on 26 Mar 2026 - 2:54

score 40 · Answer 6 · 2014-08-06 08:58:54

40

Views

Finite field extensions as projective group algebras

Published on 06 Aug 2014 - 8:58

score 673 · Answer 7 · 2026-03-26 02:54:30

673

Views

Factoring Cyclotomic Polynomials Over $\mathbb{F}_p$.

Published on 26 Mar 2026 - 2:54

score 230 · Answer 8 · 2014-08-08 12:42:45

230

Views

Zeroes of f(x) in a splitting field $E $ have the same multiplicity

Published on 08 Aug 2014 - 12:42

score 4.6k · Answer 9 · 2014-08-09 18:37:47

4.6k

Views

Describe the elements in $\mathbb{Q}(\pi)$

Published on 09 Aug 2014 - 18:37

score 1.7k · Answer 10 · 2014-08-10 13:27:25

1.7k

Views

Suppose that $\beta$ is a zero of $f(x)=x^4+x+1$ in some field extensions of $E$ of $Z_2$.Write $f(x)$ as a product of linear factors in $E[x]$

Published on 10 Aug 2014 - 13:27

score 655 · Answer 11 · 2014-08-11 09:26:34

655

Views

Prove that any two bases of a field extension have the same cardinality.

Published on 11 Aug 2014 - 9:26

score 72 · Answer 12 · 2014-08-11 16:44:44

72

Views

Is the field formed by algebraic elements of an extension field over $F$ isomorphic to $F[t]$?

Published on 11 Aug 2014 - 16:44

score 816 · Answer 13 · 2014-08-12 04:49:39

816

Views

Finitely many embeddings of a finite extension in an algebraic closure

Published on 12 Aug 2014 - 4:49

score 475 · Answer 14 · 2014-08-12 19:40:37

475

Views

Non-isomorphic field extensions of $\mathbb{Q}$

Published on 12 Aug 2014 - 19:40

score 77 · Answer 15 · 2014-08-12 19:48:47

77

Views

Question on a finite field extension of $\mathbb{Q}$

Published on 12 Aug 2014 - 19:48

List Question

dimension of $\mathbb{C}$ over $\mathbb{Q}$

Degree of Field Extension over $\mathbb{F}_2$

finite extension but not algebraic exetension

Prove that $(a+b\sqrt[3]{2}+c\sqrt[3]{4})^{-1}$ with a,b,c∈Q is a number of the form $d+e\sqrt[3]{2}+f\sqrt[3]{4}$ with $d,e,f∈Q$

Places of this extension

Finite field extensions as projective group algebras

Factoring Cyclotomic Polynomials Over $\mathbb{F}_p$.

Zeroes of f(x) in a splitting field $E $ have the same multiplicity

Describe the elements in $\mathbb{Q}(\pi)$

Suppose that $\beta$ is a zero of $f(x)=x^4+x+1$ in some field extensions of $E$ of $Z_2$.Write $f(x)$ as a product of linear factors in $E[x]$

Prove that any two bases of a field extension have the same cardinality.

Is the field formed by algebraic elements of an extension field over $F$ isomorphic to $F[t]$?

Finitely many embeddings of a finite extension in an algebraic closure

Non-isomorphic field extensions of $\mathbb{Q}$

Question on a finite field extension of $\mathbb{Q}$

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