Question

$K[\alpha]=K(\alpha)$ (if and) only if $\alpha$ is algebraic?

score 92 · Answer 1 · 2026-04-17 02:03:42

92

Views

$K[\alpha]=K(\alpha)$ (if and) only if $\alpha$ is algebraic?

Published on 17 Apr 2026 - 2:03

score 54 · Answer 2 · 2026-04-16 03:36:24

54

Views

The intersection $F(X^2)\cap F(X^2-X)$ for fields of characteristic zero

Published on 16 Apr 2026 - 3:36

score 108 · Answer 3 · 2026-04-15 10:55:51

108

Views

Field homomorphism $\phi: F \to F$ with $F$ extension over $\mathbb{Q}$ is identity map

Published on 15 Apr 2026 - 10:55

score 59 · Answer 4 · 2026-04-11 13:18:10

59

Views

A question about vector space $E$ on topological field $K$.

Published on 11 Apr 2026 - 13:18

score 69 · Answer 5 · 2026-04-09 15:22:31

69

Views

Topological field without the Stone-Weierstrass property

Published on 09 Apr 2026 - 15:22

score 3.3k · Answer 6 · 2026-04-13 13:41:45

3.3k

Views

Why can't we extend any field by simply adding a new symbol to it?

Published on 13 Apr 2026 - 13:41

score 75 · Answer 7 · 2026-04-15 05:01:07

75

Views

Reed-Solomon Code RS16(17, 19) - Number of Correctable and Detectable Symbols

Published on 15 Apr 2026 - 5:01

score 72 · Answer 8 · 2026-04-14 17:38:48

72

Views

Help understanding proof of $\text{Tr}_{M/K}(\alpha) = \text{Tr}_{L/K}(\text{Tr}_{M/L}(\alpha)), \, \forall \alpha \in M$

Published on 14 Apr 2026 - 17:38

score 38 · Answer 9 · 2026-04-16 06:15:01

38

Views

Understanding proof of $\text{Tr}_{M/K}(\alpha) = \text{Tr}_{L/K}(\text{Tr}_{M/L}(\alpha)), \, \forall \alpha \in M$

Published on 16 Apr 2026 - 6:15

score 34 · Answer 10 · 2026-04-17 12:31:54

34

Views

For $K$ a field of characteristic $p$, $[K(X):K(X^p-X)]=p$.

Published on 17 Apr 2026 - 12:31

score 76 · Answer 11 · 2026-04-16 13:34:21

76

Views

Relations between field extensions of $\mathbb{Q}$

Published on 16 Apr 2026 - 13:34

score 36 · Answer 12 · 2026-04-12 12:42:10

36

Views

Which posets are realizable as the subfield poset of a ring?

Published on 12 Apr 2026 - 12:42

score 76 · Answer 13 · 2026-04-12 11:51:03

76

Views

Are the prime ideals of tensor product of fields maximal ideals?

Published on 12 Apr 2026 - 11:51

score 108 · Answer 14 · 2026-04-09 00:58:49

108

Views

Can a local field be local in more than one way?

Published on 09 Apr 2026 - 0:58

score 66 · Answer 15 · 2026-04-11 17:57:32

66

Views

Lagrange resolvent in field extensions

Published on 11 Apr 2026 - 17:57

List Question

$K[\alpha]=K(\alpha)$ (if and) only if $\alpha$ is algebraic?

The intersection $F(X^2)\cap F(X^2-X)$ for fields of characteristic zero

Field homomorphism $\phi: F \to F$ with $F$ extension over $\mathbb{Q}$ is identity map

A question about vector space $E$ on topological field $K$.

Topological field without the Stone-Weierstrass property

Why can't we extend any field by simply adding a new symbol to it?

Reed-Solomon Code RS16(17, 19) - Number of Correctable and Detectable Symbols

Help understanding proof of $\text{Tr}_{M/K}(\alpha) = \text{Tr}_{L/K}(\text{Tr}_{M/L}(\alpha)), \, \forall \alpha \in M$

Understanding proof of $\text{Tr}_{M/K}(\alpha) = \text{Tr}_{L/K}(\text{Tr}_{M/L}(\alpha)), \, \forall \alpha \in M$

For $K$ a field of characteristic $p$, $[K(X):K(X^p-X)]=p$.

Relations between field extensions of $\mathbb{Q}$

Which posets are realizable as the subfield poset of a ring?

Are the prime ideals of tensor product of fields maximal ideals?

Can a local field be local in more than one way?

Lagrange resolvent in field extensions

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