List questions from irreducible-polynomials

Published on 26 Dec 2018 - 11:16

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Equations over $\mathbb{Z}_{p^n}$

Published on 29 Dec 2018 - 20:18

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In proving an irreducible curve has only finitely many singular points, is $f_x \not \equiv 0$?

Published on 30 Dec 2018 - 4:57

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What's the degree of a multivariate polynomial in Artin Algebra?

Published on 30 Dec 2018 - 6:43

95

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For a line $L$ and an algebraic curve $C$ of an irreducible polynomial, prove $C \cap L$ contains at most d points unless C = L.

Published on 30 Dec 2018 - 7:42

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Irreducible polynomial in the extension k(x)/k(u).

Published on 31 Dec 2018 - 15:05

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Irreducible polynomials of degree greater than 4 over finite fields

Published on 01 Jan 2019 - 17:27

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Motivation for the method of adjoining roots of polynomials

Published on 02 Jan 2019 - 19:23

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Is $x^4 + 2x^2 - x + 1$ irreducible in $\mathbb Z_7[x]$?

Published on 02 Jan 2019 - 22:10

274

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How to prove a polynomial in $\mathbb{Z}[x,y]$ is irreducible

Published on 03 Jan 2019 - 22:35

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Generators of $\mathbb{Z}_2[x][x^3+x^2+1]$

Published on 07 Jan 2019 - 10:30

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Why is $\frac{1}{x+2} = \sum_k^\infty (-1)^k(1+x)^k \in \mathbb{Z} [[x]]$ not the inverse of $x+2$ in $\mathbb{Z}$?

Published on 08 Jan 2019 - 17:11

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Showing the irreducibility of $x^8 - 60 x^6 + 1160 x^4 - 7800 x^2 + 8836$ in $\mathbb{Q}[x]$

Published on 26 Mar 2026 - 0:53

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Over which fields do there exist irreducible polynomials of every degree?

Published on 10 Jan 2019 - 17:23

190

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Problem of isomorphism and counting on quotient ring $\mathbb{Z}_{101}[x]/<f(x)>$

Published on 10 Jan 2019 - 23:34

List Question

Polynomials and Irreducible polynomials

Equations over $\mathbb{Z}_{p^n}$

In proving an irreducible curve has only finitely many singular points, is $f_x \not \equiv 0$?

What's the degree of a multivariate polynomial in Artin Algebra?

For a line $L$ and an algebraic curve $C$ of an irreducible polynomial, prove $C \cap L$ contains at most d points unless C = L.

Irreducible polynomial in the extension k(x)/k(u).

Irreducible polynomials of degree greater than 4 over finite fields

Motivation for the method of adjoining roots of polynomials

Is $x^4 + 2x^2 - x + 1$ irreducible in $\mathbb Z_7[x]$?

How to prove a polynomial in $\mathbb{Z}[x,y]$ is irreducible

Generators of $\mathbb{Z}_2[x][x^3+x^2+1]$

Why is $\frac{1}{x+2} = \sum_k^\infty (-1)^k(1+x)^k \in \mathbb{Z} [[x]]$ not the inverse of $x+2$ in $\mathbb{Z}$?

Showing the irreducibility of $x^8 - 60 x^6 + 1160 x^4 - 7800 x^2 + 8836$ in $\mathbb{Q}[x]$

Over which fields do there exist irreducible polynomials of every degree?

Problem of isomorphism and counting on quotient ring $\mathbb{Z}_{101}[x]/<f(x)>$

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