List questions from field-theory

Published on 09 Apr 2026 - 15:31

264

Views

$y^2 = f(x)$ has p solutions in $\mathbb{F}_p$

Published on 18 Apr 2026 - 13:32

113

Views

Any pattern for when the ring $\mathbb{Z}_m$ has units? ($m$ is any integer)

Published on 16 Apr 2026 - 9:55

70

Views

basis of vector spaces

Published on 14 Apr 2026 - 6:33

197

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Automorphism trivial on ring of integers quotiented by a prime ideal

Published on 14 Apr 2026 - 14:32

121

Views

Minimal polynomial of $\sqrt{3+\sqrt[3]{3}}$

Published on 16 Apr 2026 - 6:42

139

Views

Degree of a field over a fixed subfield

Published on 12 Apr 2026 - 8:20

110

Views

Is a normal irreducible separable polynomial of degree $p$ over a field of characteristic $p$ necessarily Artin-Schreier

Published on 25 Mar 2026 - 11:54

226

Views

$K$-homomorphisms for a field extension with a transcendental element

Published on 15 Apr 2026 - 7:55

345

Views

R contains a subring isomorphic to Z/car(R)

Published on 11 Apr 2026 - 16:14

170

Views

Extension of $\zeta_5^2 + \zeta_5^3$ over $ℚ$ is quadratic.

Published on 13 Apr 2026 - 21:25

105

Views

How to find PID?

Published on 09 Apr 2026 - 1:35

31

Views

Does one element of a field represent some other element of any arbitrary field?

Published on 14 Apr 2026 - 17:44

167

Views

cardinality of set $S$ where set $S$ is self orthogonal

Published on 14 Apr 2026 - 13:47

37

Views

When $\mathbb{C}(f,g)=\mathbb{C}(f',g')=\mathbb{C}(t)$.

Published on 15 Apr 2026 - 16:46

List Question

The field of algebraic numbers as a recursive structure

$y^2 = f(x)$ has p solutions in $\mathbb{F}_p$

Any pattern for when the ring $\mathbb{Z}_m$ has units? ($m$ is any integer)

basis of vector spaces

Automorphism trivial on ring of integers quotiented by a prime ideal

Minimal polynomial of $\sqrt{3+\sqrt[3]{3}}$

Degree of a field over a fixed subfield

Is a normal irreducible separable polynomial of degree $p$ over a field of characteristic $p$ necessarily Artin-Schreier

$K$-homomorphisms for a field extension with a transcendental element

R contains a subring isomorphic to Z/car(R)

Extension of $\zeta_5^2 + \zeta_5^3$ over $ℚ$ is quadratic.

How to find PID?

Does one element of a field represent some other element of any arbitrary field?

cardinality of set $S$ where set $S$ is self orthogonal

When $\mathbb{C}(f,g)=\mathbb{C}(f',g')=\mathbb{C}(t)$.

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