Question

Polynomial ring over finite field - inverting a polynomial non-prime

score 1k · Answer 1 · 2026-05-10 10:04:34

1k

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Polynomial ring over finite field - inverting a polynomial non-prime

Published on 10 May 2026 - 10:04

score 245 · Answer 2 · 2026-04-16 04:48:59

245

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For $Z_5=\{0,1,..4\}$ and $z\in Z_n$. Prove that there exists a multiplicative inverse (except zero)

Published on 16 Apr 2026 - 4:48

score 115 · Answer 3 · 2026-04-15 13:16:15

115

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Which field has the property that there is an irreducible polynomial of any degree over it?

Published on 15 Apr 2026 - 13:16

score 133 · Answer 4 · 2026-05-10 12:31:48

133

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Prime number theorem for finite fields

Published on 10 May 2026 - 12:31

score 428 · Answer 5 · 2026-04-15 20:27:08

428

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Irreducible polynomials and primitive elements over a finite field

Published on 15 Apr 2026 - 20:27

score 447 · Answer 6 · 2026-04-15 00:37:15

447

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Prescribing norm and trace of elements in a finite field.

Published on 15 Apr 2026 - 0:37

score 85 · Answer 7 · 2026-04-14 03:15:19

85

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Help determining if a field is finite?

Published on 14 Apr 2026 - 3:15

score 265 · Answer 8 · 2026-05-10 11:21:48

265

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Eigen values of a nilpotent matrix over a finite field?

Published on 10 May 2026 - 11:21

score 71 · Answer 9 · 2026-05-10 10:17:50

71

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Question related to N-th cyclotomic polynomial, principal N-th root of unity and residue class of X

Published on 10 May 2026 - 10:17

score 75 · Answer 10 · 2026-04-16 08:54:01

75

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Question on notation of $\mathbb{F}[t]$

Published on 16 Apr 2026 - 8:54

score 50 · Answer 11 · 2026-04-29 12:43:09

50

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polynomial annihilators of finite rings - proof generalization sought

Published on 29 Apr 2026 - 12:43

score 4.3k · Answer 12 · 2026-04-14 03:42:05

4.3k

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Every irreducible polynomial over a finite field is separable

Published on 14 Apr 2026 - 3:42

score 306 · Answer 13 · 2026-04-20 11:48:01

306

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How many quadratic residues of $\mathbb{F}_{p^n}$ are in the kernel of a morphism $\mathbb{F}_{p^n}^+\to \mathbb{F}_p^+$?

Published on 20 Apr 2026 - 11:48

score 197 · Answer 14 · 2026-04-09 15:25:58

197

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finding irreducible factors of polynomial in finite field

Published on 09 Apr 2026 - 15:25

score 71 · Answer 15 · 2026-04-13 13:30:48

71

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Is there a way of multiplying a polynomial in X &Y with fractional powers with another such polynomial to get polynomial in X &Y with integer powers?

Published on 13 Apr 2026 - 13:30

List Question

Polynomial ring over finite field - inverting a polynomial non-prime

For $Z_5=\{0,1,..4\}$ and $z\in Z_n$. Prove that there exists a multiplicative inverse (except zero)

Which field has the property that there is an irreducible polynomial of any degree over it?

Prime number theorem for finite fields

Irreducible polynomials and primitive elements over a finite field

Prescribing norm and trace of elements in a finite field.

Help determining if a field is finite?

Eigen values of a nilpotent matrix over a finite field?

Question related to N-th cyclotomic polynomial, principal N-th root of unity and residue class of X

Question on notation of $\mathbb{F}[t]$

polynomial annihilators of finite rings - proof generalization sought

Every irreducible polynomial over a finite field is separable

How many quadratic residues of $\mathbb{F}_{p^n}$ are in the kernel of a morphism $\mathbb{F}_{p^n}^+\to \mathbb{F}_p^+$?

finding irreducible factors of polynomial in finite field

Is there a way of multiplying a polynomial in X &Y with fractional powers with another such polynomial to get polynomial in X &Y with integer powers?

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