List questions from irreducible-polynomials

Published on 25 Mar 2026 - 21:53

153

Views

In Lemma 4.7 of AKS, why do distinct polynomials map to distinct elements modulo h(x)?

Published on 26 Mar 2026 - 9:41

445

Views

composite field

Published on 06 Mar 2020 - 19:32

221

Views

Proving that $f = X^3+2$ is irreducible in $\mathbf{F}_{49}[X]$, and is $f$ irreducible over all $\mathbf{F}_{7^n}$ for $n$ even?

Published on 08 Mar 2020 - 13:32

91

Views

$x^n+x+1$ is irreducible over $\mathbb{Z}[x]$ if and only if $n=2$ or $n \not\equiv 2 \mod 3.$

Published on 10 Mar 2020 - 6:34

107

Views

Complete list of irreducible elements of a given ring

Published on 25 Mar 2026 - 21:48

73

Views

Sanity check answers of minimal polynomials

Published on 11 Mar 2020 - 5:38

983

Views

Prove $x^6-6x^4+12x^2-11$ is irreducible over $\mathbb{Q}$

Published on 13 Mar 2020 - 3:46

117

Views

Polynomials with algebraic coefficients by multiplication of polynomials with non-algebraic coefficients?

Published on 15 Mar 2020 - 12:30

65

Views

$\mathbb{R}[x,y]/(x^5-y^2)$ is a principal ideal domain?

Published on 15 Mar 2020 - 19:48

102

Views

How to find PID?

Published on 16 Mar 2020 - 6:41

46

Views

A family of irreducible solvable polynomials related to numbers of the form $a+b\sqrt{n}$

Published on 18 Mar 2020 - 0:16

732

Views

What does "leading coefficient is positive" mean here?

Published on 18 Mar 2020 - 4:39

32

Views

Sanity check finding a number $a$ such that $p(x)$ is the minimum polynomial of $a$ over $\Bbb{Q}$

Published on 18 Mar 2020 - 5:06

357

Views

Proving a polynomial divides other polynomials

Published on 19 Mar 2020 - 21:13

List Question

Irreducible Element

In Lemma 4.7 of AKS, why do distinct polynomials map to distinct elements modulo h(x)?

composite field

Proving that $f = X^3+2$ is irreducible in $\mathbf{F}_{49}[X]$, and is $f$ irreducible over all $\mathbf{F}_{7^n}$ for $n$ even?

$x^n+x+1$ is irreducible over $\mathbb{Z}[x]$ if and only if $n=2$ or $n \not\equiv 2 \mod 3.$

Complete list of irreducible elements of a given ring

Sanity check answers of minimal polynomials

Prove $x^6-6x^4+12x^2-11$ is irreducible over $\mathbb{Q}$

Polynomials with algebraic coefficients by multiplication of polynomials with non-algebraic coefficients?

$\mathbb{R}[x,y]/(x^5-y^2)$ is a principal ideal domain?

How to find PID?

A family of irreducible solvable polynomials related to numbers of the form $a+b\sqrt{n}$

What does "leading coefficient is positive" mean here?

Sanity check finding a number $a$ such that $p(x)$ is the minimum polynomial of $a$ over $\Bbb{Q}$

Proving a polynomial divides other polynomials

Trending Questions

Popular # Hahtags

Popular Questions