Question

Why is the algebraic closure of a finite field countable?

score 3.9k · Answer 1 · 2026-04-12 00:56:17

3.9k

Views

Why is the algebraic closure of a finite field countable?

Published on 12 Apr 2026 - 0:56

score 8.3k · Answer 2 · 2026-03-28 00:48:05

8.3k

Views

Showing that minimal polynomial has the same irreducible factors as characteristic polynomial

Published on 28 Mar 2026 - 0:48

score 562 · Answer 3 · 2026-04-02 00:14:46

562

Views

Minimum polynomial of $\sqrt{2} + \sqrt[3]{5}$ above $\mathbb{Q}$ (and a generalization)

Published on 02 Apr 2026 - 0:14

score 2.3k · Answer 4 · 2026-04-10 23:11:22

2.3k

Views

Field homomorphism into itself

Published on 10 Apr 2026 - 23:11

score 1.1k · Answer 5 · 2026-03-30 13:40:27

1.1k

Views

Let $F$ be a field of 8 elements and $A$= {$x\in F$| $x^7$=1 and $x^k$$\neq$1 for all natural number k<1}. Then the number of elements in A is

Published on 30 Mar 2026 - 13:40

score 148 · Answer 6 · 2026-04-02 00:15:02

148

Views

Question about the number of roots of irreducible polinomials.

Published on 02 Apr 2026 - 0:15

score 170 · Answer 7 · 2026-04-09 07:02:07

170

Views

Help Understanding Field Extension/Linear Algebra Problem

Published on 09 Apr 2026 - 7:02

score 120 · Answer 8 · 2026-04-11 18:11:37

120

Views

Finding the prime element of a place of a function field of a elliptic curve.

Published on 11 Apr 2026 - 18:11

score 502 · Answer 9 · 2026-04-03 18:08:26

502

Views

Splitting fields and isomorphic

Published on 03 Apr 2026 - 18:08

score 354 · Answer 10 · 2026-03-30 13:39:28

354

Views

Some properties of elements of the finite field GF(q)

Published on 30 Mar 2026 - 13:39

score 65 · Answer 11 · 2026-04-11 18:29:56

65

Views

need help explaining the complex roots of a cubic

Published on 11 Apr 2026 - 18:29

score 240 · Answer 12 · 2026-03-25 06:08:25

240

Views

Is there an online database somewhere that lists identities for algebraic structures with two binary operators?

Published on 25 Mar 2026 - 6:08

score 312 · Answer 13 · 2026-04-03 18:13:04

312

Views

Is my answer correct on this Galois Theory problem? Find the lattice of subfields of $\mathbb{Q}(\zeta_9)$

Published on 03 Apr 2026 - 18:13

score 523 · Answer 14 · 2026-03-26 04:34:15

523

Views

Did I Do This Galois Theory Problem Right? Subfields of $\mathbb{Q}(\zeta_{12})$.

Published on 26 Mar 2026 - 4:34

score 64 · Answer 15 · 2026-04-02 00:13:49

64

Views

Proving $\mathbb{Q}(\eta,i)=\mathbb{Q}(\xi)$ where $\xi=e^{\pi i/10}$ and $\eta=e^{2\pi i/5}$

Published on 02 Apr 2026 - 0:13

List Question

Why is the algebraic closure of a finite field countable?

Showing that minimal polynomial has the same irreducible factors as characteristic polynomial

Minimum polynomial of $\sqrt{2} + \sqrt[3]{5}$ above $\mathbb{Q}$ (and a generalization)

Field homomorphism into itself

Let $F$ be a field of 8 elements and $A$= {$x\in F$| $x^7$=1 and $x^k$$\neq$1 for all natural number k<1}. Then the number of elements in A is

Question about the number of roots of irreducible polinomials.

Help Understanding Field Extension/Linear Algebra Problem

Finding the prime element of a place of a function field of a elliptic curve.

Splitting fields and isomorphic

Some properties of elements of the finite field GF(q)

need help explaining the complex roots of a cubic

Is there an online database somewhere that lists identities for algebraic structures with two binary operators?

Is my answer correct on this Galois Theory problem? Find the lattice of subfields of $\mathbb{Q}(\zeta_9)$

Did I Do This Galois Theory Problem Right? Subfields of $\mathbb{Q}(\zeta_{12})$.

Proving $\mathbb{Q}(\eta,i)=\mathbb{Q}(\xi)$ where $\xi=e^{\pi i/10}$ and $\eta=e^{2\pi i/5}$

Trending Questions

Popular # Hahtags

Popular Questions