List questions from irreducible-polynomials

Published on 26 Apr 2014 - 12:12

146

Views

Irreducibility over $ \mathbb{Q} ( \sqrt{2} , \sqrt{3})$

Published on 27 Apr 2014 - 6:20

250

Views

Irreducible in $(\mathbb{Z}[i])[x]$

Published on 30 Apr 2014 - 3:38

1k

Views

Finding the conjugates in $\mathbb{C}$ of a given number over a given field...

Published on 02 May 2014 - 1:14

129

Views

Direct Product of Rings and Atoms

Published on 26 Mar 2026 - 8:03

3.2k

Views

Factor irreducible polynomial in Z[x] and R[x]

Published on 04 May 2014 - 19:29

120

Views

$t^p - t -a $ is irreducible if and only if it has no root

Published on 05 May 2014 - 0:05

985

Views

Polynomial ring and extension field

Published on 05 May 2014 - 14:22

58

Views

Is $x^{p}+\alpha$ irreducible over $\mathbb{F}_{p}(\alpha)$ for transcendent $\alpha$?

Published on 05 May 2014 - 19:53

120

Views

Testing a polynomial is irreducible.

Published on 06 May 2014 - 0:09

235

Views

Irreducible polynomial with given discriminant

Published on 08 May 2014 - 22:10

74

Views

Factorization of Polynomials. Irreducible polynomial (basic question)

Published on 10 May 2014 - 15:00

1.5k

Views

Eisenstein Criterion Shift Conditions

Published on 12 May 2014 - 17:11

504

Views

Minimal polynomial of $\sqrt{2}+\sqrt[3]{3}$.

Published on 13 May 2014 - 3:06

368

Views

Find the number of irreducible polynomials in any given degree

Published on 13 May 2014 - 4:53

List Question

Show that $Gal(X^4+aX^2+b)\cong V_4$ if and only if $b$ is a square in $\mathbb{Q}$

Irreducibility over $ \mathbb{Q} ( \sqrt{2} , \sqrt{3})$

Irreducible in $(\mathbb{Z}[i])[x]$

Finding the conjugates in $\mathbb{C}$ of a given number over a given field...

Direct Product of Rings and Atoms

Factor irreducible polynomial in Z[x] and R[x]

$t^p - t -a $ is irreducible if and only if it has no root

Polynomial ring and extension field

Is $x^{p}+\alpha$ irreducible over $\mathbb{F}_{p}(\alpha)$ for transcendent $\alpha$?

Testing a polynomial is irreducible.

Irreducible polynomial with given discriminant

Factorization of Polynomials. Irreducible polynomial (basic question)

Eisenstein Criterion Shift Conditions

Minimal polynomial of $\sqrt{2}+\sqrt[3]{3}$.

Find the number of irreducible polynomials in any given degree

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