Question

Help with problem of the book Algebra of T. Hungerford

score 160 · Answer 1 · 2026-04-10 22:14:50

160

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Help with problem of the book Algebra of T. Hungerford

Published on 10 Apr 2026 - 22:14

score 68 · Answer 2 · 2026-04-16 19:44:21

68

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Let k be a field and let p, q ∈ N be two prime numbers such that p · 1 = q · 1 = 0. Show that p = q.

Published on 16 Apr 2026 - 19:44

score 143 · Answer 3 · 2026-04-15 00:14:06

143

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What branch of math is this?

Published on 15 Apr 2026 - 0:14

score 51 · Answer 4 · 2026-04-14 08:41:19

51

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Splitting field of $x^ {a^n}$ −1 in Z/aZ[x]

Published on 14 Apr 2026 - 8:41

score 254 · Answer 5 · 2026-04-16 18:58:29

254

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Field, algebraic element

Published on 16 Apr 2026 - 18:58

score 123 · Answer 6 · 2026-04-11 17:40:56

123

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Are simple extensions of isomorphic fields isomorphic?

Published on 11 Apr 2026 - 17:40

score 55 · Answer 7 · 2026-04-15 05:49:29

55

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element in field, not a square

Published on 15 Apr 2026 - 5:49

score 368 · Answer 8 · 2026-04-14 16:24:56

368

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The field closure of a countable union of countable fields is countable?

Published on 14 Apr 2026 - 16:24

score 1k · Answer 9 · 2026-04-14 17:43:15

1k

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Universal property of the algebraic closure of a field

Published on 14 Apr 2026 - 17:43

score 316 · Answer 10 · 2026-04-16 14:18:04

316

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Explain to me the difference between the notation $\mathbb{Q}( \sqrt2) $and$ \mathbb{Q}[ \sqrt2]$

Published on 16 Apr 2026 - 14:18

score 89 · Answer 11 · 2026-04-17 01:27:30

89

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Questions on the field extension $K = \mathbb{Q}[x]/\langle x^2 − 5\rangle$

Published on 17 Apr 2026 - 1:27

score 195 · Answer 12 · 2026-04-15 03:38:57

195

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Do two isomorphic finite field extensions have the same dimension?

Published on 15 Apr 2026 - 3:38

score 39 · Answer 13 · 2026-04-11 15:59:58

39

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Notation question regarding field extensions (What does $K^2 \subseteq k$ mean)

Published on 11 Apr 2026 - 15:59

score 189 · Answer 14 · 2026-04-16 22:54:10

189

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Show that $\mathbb{Q}( \sqrt2) \neq \mathbb{Q}( \sqrt3)$

Published on 16 Apr 2026 - 22:54

score 3k · Answer 15 · 2026-04-09 12:59:40

3k

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Are there number systems corresponding to higher cardinalities than the real numbers?

Published on 09 Apr 2026 - 12:59

List Question

Help with problem of the book Algebra of T. Hungerford

Let k be a field and let p, q ∈ N be two prime numbers such that p · 1 = q · 1 = 0. Show that p = q.

What branch of math is this?

Splitting field of $x^ {a^n}$ −1 in Z/aZ[x]

Field, algebraic element

Are simple extensions of isomorphic fields isomorphic?

element in field, not a square

The field closure of a countable union of countable fields is countable?

Universal property of the algebraic closure of a field

Explain to me the difference between the notation $\mathbb{Q}( \sqrt2) $and$ \mathbb{Q}[ \sqrt2]$

Questions on the field extension $K = \mathbb{Q}[x]/\langle x^2 − 5\rangle$

Do two isomorphic finite field extensions have the same dimension?

Notation question regarding field extensions (What does $K^2 \subseteq k$ mean)

Show that $\mathbb{Q}( \sqrt2) \neq \mathbb{Q}( \sqrt3)$

Are there number systems corresponding to higher cardinalities than the real numbers?

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