List questions from field-theory

Published on 29 Apr 2026 - 12:16

44

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Prove that $a$ is an algebraic using a set $\{1,a,a^2,a^3,a^4\}$

Published on 15 Apr 2026 - 13:44

1.9k

Views

Intersection of two fields

Published on 17 Apr 2026 - 10:58

98

Views

Kähler Differential Of Submodules

Published on 16 Apr 2026 - 3:51

1.1k

Views

Is a vector field a mathematical field?

Published on 04 May 2026 - 13:07

91

Views

minimal polynomial, $E_p=\cos\frac{2\pi}{p} + i\sin\frac{2\pi}{p}$

Published on 25 Apr 2026 - 1:21

472

Views

Inverse of $1+\theta$?

Published on 13 Apr 2026 - 16:56

44

Views

Closedness of vectorspace

Published on 12 Apr 2026 - 23:52

55

Views

Finding an ideal given the variety

Published on 10 Apr 2026 - 4:38

69

Views

Modules of algebraic integers

Published on 10 May 2026 - 11:19

106

Views

minimal polynomial of $f (a)/g (a)$, given the minimal polynomial of a

Published on 14 Apr 2026 - 4:08

50

Views

Regarding some field notation

Published on 10 May 2026 - 11:17

167

Views

Property of Splitting Fields and K-homomorphisms

Published on 02 May 2026 - 11:49

1.1k

Views

If $[K(\alpha):K]=p\neq q=[K(\beta):K]$ then $[K(\alpha+\beta):K]=pq$

Published on 17 Apr 2026 - 11:30

253

Views

Does every equation involving $+,-,\times,\div,\sqrt{},\mathbb Q$ only have solutions in the algebraic numbers

Published on 11 Apr 2026 - 21:22

List Question

Power basis for a number field

Prove that $a$ is an algebraic using a set $\{1,a,a^2,a^3,a^4\}$

Intersection of two fields

Kähler Differential Of Submodules

Is a vector field a mathematical field?

minimal polynomial, $E_p=\cos\frac{2\pi}{p} + i\sin\frac{2\pi}{p}$

Inverse of $1+\theta$?

Closedness of vectorspace

Finding an ideal given the variety

Modules of algebraic integers

minimal polynomial of $f (a)/g (a)$, given the minimal polynomial of a

Regarding some field notation

Property of Splitting Fields and K-homomorphisms

If $[K(\alpha):K]=p\neq q=[K(\beta):K]$ then $[K(\alpha+\beta):K]=pq$

Does every equation involving $+,-,\times,\div,\sqrt{},\mathbb Q$ only have solutions in the algebraic numbers

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