List questions from positive-characteristic

Published on 23 Mar 2026 - 3:52

1.4k

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Multiplication by $m$ isogenies of elliptic curves in characteristic $p$

Published on 17 Jan 2016 - 21:15

373

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Finite extension of field with positive characteristic

Published on 22 Feb 2016 - 1:01

980

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Prove that a polynomial is irreducible or the field contains a $p$th root

Published on 04 Mar 2016 - 18:46

495

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Does the category of algebraically closed fields of characteristic $p$ change when $p$ changes?

Published on 24 Mar 2026 - 2:08

211

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$\mathbb{Z}_p$ necessarily realised as galois group of characteristic $p$ field?

Published on 11 Apr 2016 - 11:42

1.1k

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Can a separable isogeny of elliptic curves have an inseparable dual?

Published on 23 Mar 2026 - 10:11

831

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Kähler differentials in an inseparable field extension

Published on 28 Apr 2016 - 20:49

1.2k

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Idempotents in commutative ring of characteristic 2 form a subring

Published on 29 Jun 2016 - 3:46

36

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Orders of elements in multiplicative groups of fields with positive characteristic

Published on 30 Jun 2016 - 17:09

224

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Example of projection map having non-reduced fibers

Published on 03 Jul 2016 - 18:48

1.9k

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Can a ring of positive characteristic have infinite number of elements?

Published on 10 Apr 2013 - 2:41

6.4k

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Show that $f(x) = x^p -x -1 \in \Bbb{F}_p[x]$ is irreducible over $\Bbb{F}_p$ for every $p$.

Published on 23 Jul 2013 - 20:45

60

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Properties of divisors when moving from char 0 to char p.

Published on 12 Aug 2013 - 17:48

620

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Characteristic of a finite ring with $34$ units

Published on 14 Sep 2013 - 20:07

List Question

Prove that p divides to algebraic multiplicity of the eigenvalue

Multiplication by $m$ isogenies of elliptic curves in characteristic $p$

Finite extension of field with positive characteristic

Prove that a polynomial is irreducible or the field contains a $p$th root

Does the category of algebraically closed fields of characteristic $p$ change when $p$ changes?

$\mathbb{Z}_p$ necessarily realised as galois group of characteristic $p$ field?

Can a separable isogeny of elliptic curves have an inseparable dual?

Kähler differentials in an inseparable field extension

Idempotents in commutative ring of characteristic 2 form a subring

Orders of elements in multiplicative groups of fields with positive characteristic

Example of projection map having non-reduced fibers

Can a ring of positive characteristic have infinite number of elements?

Show that $f(x) = x^p -x -1 \in \Bbb{F}_p[x]$ is irreducible over $\Bbb{F}_p$ for every $p$.

Properties of divisors when moving from char 0 to char p.

Characteristic of a finite ring with $34$ units

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