Question

Does $2x=0$ imply $x=0$ in a field with characteristic not equal 2.

score 105 · Answer 1 · 2026-03-22 09:40:11

105

Views

Does $2x=0$ imply $x=0$ in a field with characteristic not equal 2.

Published on 22 Mar 2026 - 9:40

score 703 · Answer 2 · 2026-03-25 06:24:26

703

Views

Canonical connection on the Frobenius pull-back

Published on 25 Mar 2026 - 6:24

score 301 · Answer 3 · 2026-03-22 10:48:56

301

Views

Determine all $P(X)\in K[X]$ such that $P\big(X^2+1\big)=\big(P(X)\big)^2+1$, for fields $K$ of any characteristic.

Published on 22 Mar 2026 - 10:48

score 1.9k · Answer 4 · 2026-03-22 12:51:52

1.9k

Views

Does there exist a pair of infinite fields, the additive group of one isomorphic to the multiplicative group of the other?

Published on 22 Mar 2026 - 12:51

score 188 · Answer 5 · 2026-03-22 06:24:14

188

Views

What goes wrong in the theory of algebraic groups in characteristic $p$?

Published on 22 Mar 2026 - 6:24

score 2.5k · Answer 6 · 2026-03-22 04:05:30

2.5k

Views

Determinant of Killing form of sl_n

Published on 22 Mar 2026 - 4:05

score 225 · Answer 7 · 2026-03-22 07:37:50

225

Views

About a refined Burnside's theorem in prime characteristic.

Published on 22 Mar 2026 - 7:37

score 200 · Answer 8 · 2026-03-22 12:32:04

200

Views

What is the Frobenius automorphism associated to a closed pont?

Published on 22 Mar 2026 - 12:32

score 890 · Answer 9 · 2026-03-21 16:10:34

890

Views

Let $R$ be a commutative ring with unity of prime characteristic $p$. If $a\in R$ is nilpotent then is $1+a$ unipotent?

Published on 21 Mar 2026 - 16:10

score 115 · Answer 10 · 2026-03-21 22:13:26

115

Views

$x^2 + x$ in a finite local ring of even characteristic and its residue field

Published on 21 Mar 2026 - 22:13

score 133 · Answer 11 · 2026-03-20 02:19:07

133

Views

A statement about normal basis element , trace and characteristic of field

Published on 20 Mar 2026 - 2:19

score 124 · Answer 12 · 2023-02-14 18:41:56

124

Views

Examples of Fano varieties having $h^i(X, O_X) \neq 0$ for some $i >0$ in positive characteristic

Published on 14 Feb 2023 - 18:41

score 83 · Answer 13 · 2023-03-02 21:10:53

83

Views

Power series ring in prime characteristic

Published on 02 Mar 2023 - 21:10

score 73 · Answer 14 · 2026-02-23 08:34:00

73

Views

How to show that the image of the morphism $X \mapsto X^{p^n}$ equals the separable closure.

Published on 23 Feb 2026 - 8:34

score 199 · Answer 15 · 2023-05-02 15:35:11

199

Views

In characteristic $2$, can a function have a non-zero second derivative?

Published on 02 May 2023 - 15:35

List Question

Does $2x=0$ imply $x=0$ in a field with characteristic not equal 2.

Canonical connection on the Frobenius pull-back

Determine all $P(X)\in K[X]$ such that $P\big(X^2+1\big)=\big(P(X)\big)^2+1$, for fields $K$ of any characteristic.

Does there exist a pair of infinite fields, the additive group of one isomorphic to the multiplicative group of the other?

What goes wrong in the theory of algebraic groups in characteristic $p$?

Determinant of Killing form of sl_n

About a refined Burnside's theorem in prime characteristic.

What is the Frobenius automorphism associated to a closed pont?

Let $R$ be a commutative ring with unity of prime characteristic $p$. If $a\in R$ is nilpotent then is $1+a$ unipotent?

$x^2 + x$ in a finite local ring of even characteristic and its residue field

A statement about normal basis element , trace and characteristic of field

Examples of Fano varieties having $h^i(X, O_X) \neq 0$ for some $i >0$ in positive characteristic

Power series ring in prime characteristic

How to show that the image of the morphism $X \mapsto X^{p^n}$ equals the separable closure.

In characteristic $2$, can a function have a non-zero second derivative?

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