Question

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

score 1k · Answer 1 · 2026-03-22 17:26:38

1k

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

Published on 22 Mar 2026 - 17:26

score 242 · Answer 2 · 2018-02-14 13:23:14

242

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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 14 Feb 2018 - 13:23

score 113 · Answer 3 · 2026-03-25 00:02:54

113

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

Published on 25 Mar 2026 - 0:02

score 126 · Answer 4 · 2026-03-22 08:31:21

126

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Prime number theorem for finite fields

Published on 22 Mar 2026 - 8:31

score 425 · Answer 5 · 2018-02-18 13:12:09

425

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Irreducible polynomials and primitive elements over a finite field

Published on 18 Feb 2018 - 13:12

score 445 · Answer 6 · 2026-03-25 03:07:30

445

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Prescribing norm and trace of elements in a finite field.

Published on 25 Mar 2026 - 3:07

score 82 · Answer 7 · 2018-02-19 16:20:08

82

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Help determining if a field is finite?

Published on 19 Feb 2018 - 16:20

score 259 · Answer 8 · 2026-03-25 06:21:18

259

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Eigen values of a nilpotent matrix over a finite field?

Published on 25 Mar 2026 - 6:21

score 64 · Answer 9 · 2026-03-22 19:12:07

64

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

Published on 22 Mar 2026 - 19:12

score 71 · Answer 10 · 2018-02-21 09:06:23

71

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

Published on 21 Feb 2018 - 9:06

score 44 · Answer 11 · 2026-03-22 19:19:07

44

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polynomial annihilators of finite rings - proof generalization sought

Published on 22 Mar 2026 - 19:19

score 4.3k · Answer 12 · 2018-02-21 16:18:37

4.3k

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Every irreducible polynomial over a finite field is separable

Published on 21 Feb 2018 - 16:18

score 303 · Answer 13 · 2026-03-23 02:42:38

303

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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 23 Mar 2026 - 2:42

score 194 · Answer 14 · 2018-02-24 03:38:33

194

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finding irreducible factors of polynomial in finite field

Published on 24 Feb 2018 - 3:38

score 68 · Answer 15 · 2018-02-24 16:10:23

68

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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 24 Feb 2018 - 16:10

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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