List questions from field-theory

Published on 01 Apr 2026 - 11:59

154

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Separable extensions and Hensel's Lemma

Published on 01 May 2019 - 9:13

78

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Cyclotomic Extensions

Published on 31 Mar 2026 - 15:49

262

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d’Alembert Lagrangian for second rank tensors

Published on 25 Mar 2026 - 20:35

394

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Minimal polynomial of extension of degree 2 over a finite field with characteristic 2

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284

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other roots of a minimal polynomial

Published on 01 Apr 2026 - 8:10

36

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Please help clear doubt about algebraic extension

Published on 02 May 2019 - 9:45

437

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Algebraic Closure & Algebraic Elements

Published on 01 Apr 2026 - 8:00

28

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Irreducible $f\in F[x]$ has a root in $F[x]/\langle f \rangle$

Published on 02 Apr 2026 - 18:28

135

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Why Galois group of $K[ζ_{p^r}]/K[ζ_p]$ is cyclic?

Published on 26 Mar 2026 - 3:01

157

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Irreducible polynomial with root implies least degree

Published on 27 Mar 2026 - 0:03

86

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Any element in $K/\mathbb Q_p$ can be generated by some $\pi \in K$

Published on 25 Mar 2026 - 7:43

349

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Doubts regarding 'quadratic field can be obtained by adjoining square root'

Published on 31 Mar 2026 - 17:01

39

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Prove $x<y \land z>0 \Rightarrow x\cdot z < y \cdot z$ for all$x,y,z\in \mathbb{K}$

Published on 26 Mar 2026 - 7:46

297

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Finding minimal polynomial of generator of quadratic subfield of cyclotomic extension $\mathbb{Q}(\xi_{17})$

Published on 25 Mar 2026 - 3:22

List Question

A special inverse Galois problem

Separable extensions and Hensel's Lemma

Cyclotomic Extensions

d’Alembert Lagrangian for second rank tensors

Minimal polynomial of extension of degree 2 over a finite field with characteristic 2

other roots of a minimal polynomial

Please help clear doubt about algebraic extension

Algebraic Closure & Algebraic Elements

Irreducible $f\in F[x]$ has a root in $F[x]/\langle f \rangle$

Why Galois group of $K[ζ_{p^r}]/K[ζ_p]$ is cyclic?

Irreducible polynomial with root implies least degree

Any element in $K/\mathbb Q_p$ can be generated by some $\pi \in K$

Doubts regarding 'quadratic field can be obtained by adjoining square root'

Prove $x<y \land z>0 \Rightarrow x\cdot z < y \cdot z$ for all$x,y,z\in \mathbb{K}$

Finding minimal polynomial of generator of quadratic subfield of cyclotomic extension $\mathbb{Q}(\xi_{17})$

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