List questions from positive-characteristic

Published on 20 Mar 2026 - 2:35

1k

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Cyclic Artin-Schreier-Witt extension of order $p^2$

Published on 22 Mar 2026 - 23:49

99

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Characteristic of a finite field - equivalent formula

Published on 23 Mar 2026 - 0:40

182

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A field with an irreducible, separable polynomial with roots $\alpha$ and $\alpha + 1$ must have positive characteristic.

Published on 22 Mar 2026 - 22:04

431

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Characteristic of residue field in a Dedekind domain.

Published on 20 Mar 2026 - 2:34

83

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Galois extension of exponent $mp^r$ in characteristic $p$

Published on 20 Mar 2026 - 8:36

461

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Peirce decomposition of a ring: must the ideal generators be idempotent in characteristic 2?

Published on 22 Mar 2026 - 15:02

517

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Indecomposable modules of a $p$-group in characteristic $p$

Published on 22 Mar 2026 - 17:39

276

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Example of a characteristic zero local ring with a quotient of positive characteristic

Published on 23 Mar 2026 - 0:38

368

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"Purely inseparable, algebraic extension if and only if trivial automorphism group"

Published on 23 Mar 2026 - 12:50

254

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Abelian group of prime exponent $p$ is $\mathbb{F}_p$-vector space?

Published on 23 Mar 2026 - 9:38

116

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Rings in which each element is a sum of $n$ commuting idempotents

Published on 22 Mar 2026 - 13:32

98

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Reason why $x \mapsto x^p$ is a ring morphism in characteristic $p$?

Published on 17 Mar 2026 - 22:20

121

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Stability under conjugation of a subvector space of Lie algebra of an affine linear algebraic group (in positive characteristic)

Published on 16 Mar 2026 - 21:50

198

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Lang Steinberg over separably closed field

Published on 17 Mar 2026 - 8:49

List Question

Characteristic of an integral domain: doubt in the proof

Cyclic Artin-Schreier-Witt extension of order $p^2$

Characteristic of a finite field - equivalent formula

A field with an irreducible, separable polynomial with roots $\alpha$ and $\alpha + 1$ must have positive characteristic.

Characteristic of residue field in a Dedekind domain.

Galois extension of exponent $mp^r$ in characteristic $p$

Peirce decomposition of a ring: must the ideal generators be idempotent in characteristic 2?

Indecomposable modules of a $p$-group in characteristic $p$

Example of a characteristic zero local ring with a quotient of positive characteristic

"Purely inseparable, algebraic extension if and only if trivial automorphism group"

Abelian group of prime exponent $p$ is $\mathbb{F}_p$-vector space?

Rings in which each element is a sum of $n$ commuting idempotents

Reason why $x \mapsto x^p$ is a ring morphism in characteristic $p$?

Stability under conjugation of a subvector space of Lie algebra of an affine linear algebraic group (in positive characteristic)

Lang Steinberg over separably closed field

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