Question

How to define the multiplicative group on the additive group of a finite field?

score 69 · Answer 1 · 2026-04-10 21:16:32

69

Views

How to define the multiplicative group on the additive group of a finite field?

Published on 10 Apr 2026 - 21:16

score 121 · Answer 2 · 2026-04-15 10:22:11

121

Views

Galois group and the fixed field of $L(\sqrt[6]{2})|L$ for $L=\mathbb{Q}(e^{2πi/3} )$

Published on 15 Apr 2026 - 10:22

score 22 · Answer 3 · 2026-04-17 11:08:21

22

Views

Show: the splitting field of $f = a·p_1^{m_1}\cdots p_t^{m_t}$ is identical to that of the polynomial $p_1\cdots p_t$

Published on 17 Apr 2026 - 11:08

score 47 · Answer 4 · 2026-05-15 21:16:37

47

Views

What does it mean, The space $L_n (V^n;K)$ of alternating n-linear forms is of dimension one?

Published on 15 May 2026 - 21:16

score 38 · Answer 5 · 2026-04-09 17:11:37

38

Views

Separability over a compositum of fields

Published on 09 Apr 2026 - 17:11

score 59 · Answer 6 · 2026-04-15 04:59:25

59

Views

Does $F(\alpha) = F + (\alpha)$?

Published on 15 Apr 2026 - 4:59

score 78 · Answer 7 · 2026-04-12 14:20:44

78

Views

Explicit example of an algebraically closed field of cardinality greater than continuum.

Published on 12 Apr 2026 - 14:20

score 109 · Answer 8 · 2026-04-10 12:47:31

109

Views

A question about the routine of usage of quantifiers and other logic symbols in Algebra courses

Published on 10 Apr 2026 - 12:47

score 61 · Answer 9 · 2026-04-14 22:14:36

61

Views

How to check whether $f(X)=X^4-6X^2+1$ is irreducible or not in $\mathbb{Q}[X]$?

Published on 14 Apr 2026 - 22:14

score 49 · Answer 10 · 2026-04-09 20:53:05

49

Views

A question about algebraic closed field and algebraic closure

Published on 09 Apr 2026 - 20:53

score 97 · Answer 11 · 2026-04-13 08:43:20

97

Views

How to answer this question in GTM167?

Published on 13 Apr 2026 - 8:43

score 112 · Answer 12 · 2026-04-17 04:02:07

112

Views

Galois group of degree 7 polynomial

Published on 17 Apr 2026 - 4:02

score 111 · Answer 13 · 2026-04-11 12:10:09

111

Views

Maximal ideals in $\mathbb{Z}[\sqrt{-5}]$

Published on 11 Apr 2026 - 12:10

score 62 · Answer 14 · 2026-04-15 16:25:29

62

Views

Automorphism group isomorphic to the Klein 4 group.

Published on 15 Apr 2026 - 16:25

score 32 · Answer 15 · 2026-04-12 21:43:06

32

Views

Linear operator of a field extension is generated by the Galois automorphisms.

Published on 12 Apr 2026 - 21:43

List Question

How to define the multiplicative group on the additive group of a finite field?

Galois group and the fixed field of $L(\sqrt[6]{2})|L$ for $L=\mathbb{Q}(e^{2πi/3} )$

Show: the splitting field of $f = a·p_1^{m_1}\cdots p_t^{m_t}$ is identical to that of the polynomial $p_1\cdots p_t$

What does it mean, The space $L_n (V^n;K)$ of alternating n-linear forms is of dimension one?

Separability over a compositum of fields

Does $F(\alpha) = F + (\alpha)$?

Explicit example of an algebraically closed field of cardinality greater than continuum.

A question about the routine of usage of quantifiers and other logic symbols in Algebra courses

How to check whether $f(X)=X^4-6X^2+1$ is irreducible or not in $\mathbb{Q}[X]$?

A question about algebraic closed field and algebraic closure

How to answer this question in GTM167?

Galois group of degree 7 polynomial

Maximal ideals in $\mathbb{Z}[\sqrt{-5}]$

Automorphism group isomorphic to the Klein 4 group.

Linear operator of a field extension is generated by the Galois automorphisms.

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