List questions from polynomial-rings

Published on 17 Oct 2018 - 18:27

68

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The maps $f_+$ and $f_-$ are well-defined.

Published on 18 Oct 2018 - 17:09

118

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$a^4=0$ then $1-a$ is invertible in $R[x]/(d)R[x]$

Published on 18 Oct 2018 - 19:43

32

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No element of degree $0$ (constant $= a_0 X^0$) in $\mathbb{Z}_4/(2X) \mathbb{Z}_4$

Published on 18 Oct 2018 - 22:46

153

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If $f|d$, then $f$ is invertible in $R[X]/(d)R[X]$

Published on 19 Oct 2018 - 12:09

630

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Is $(x^2+y^2-1, z^2+w^2-1)$ a prime ideal in $\mathbb Q[x,y,z,w]$?

Published on 02 Nov 2018 - 14:07

167

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Prove or Disprove $G(x, y)=G(y,x)$

Published on 10 Nov 2018 - 11:25

96

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Fundamental ismorphism theorem

Published on 20 Nov 2018 - 6:11

71

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Classifying homomorphisms on polynomial rings with real coefficients.

Published on 25 Mar 2026 - 6:10

1.7k

Views

Homomorphisms and automorphisms on polynomial rings

Published on 25 Mar 2026 - 6:10

120

Views

Cyclic multiplicative subgroups

Published on 02 Dec 2018 - 7:12

845

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How the following multiplication table is solved ( related to $F_2[X]/f(x)$ )

Published on 08 Dec 2018 - 16:14

126

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Prove $(0) = (x)\cap (xz^{n-1} + \lambda y^n)$ in $R=\frac{k[x,y,z]}{(x^2,xy)}$

Published on 08 Dec 2018 - 18:38

3.7k

Views

Finding units and zero divisors in a polynomial quotient ring

Published on 12 Dec 2018 - 1:34

71

Views

A computational criterion of irreducibility in $\mathbb Z[X]$?

Published on 21 Mar 2026 - 21:50

List Question

Prove $x^4 +x+1$ is irreducible in $\mathbb{Z}/2\mathbb{Z}[x]$

The maps $f_+$ and $f_-$ are well-defined.

$a^4=0$ then $1-a$ is invertible in $R[x]/(d)R[x]$

No element of degree $0$ (constant $= a_0 X^0$) in $\mathbb{Z}_4/(2X) \mathbb{Z}_4$

If $f|d$, then $f$ is invertible in $R[X]/(d)R[X]$

Is $(x^2+y^2-1, z^2+w^2-1)$ a prime ideal in $\mathbb Q[x,y,z,w]$?

Prove or Disprove $G(x, y)=G(y,x)$

Fundamental ismorphism theorem

Classifying homomorphisms on polynomial rings with real coefficients.

Homomorphisms and automorphisms on polynomial rings

Cyclic multiplicative subgroups

How the following multiplication table is solved ( related to $F_2[X]/f(x)$ )

Prove $(0) = (x)\cap (xz^{n-1} + \lambda y^n)$ in $R=\frac{k[x,y,z]}{(x^2,xy)}$

Finding units and zero divisors in a polynomial quotient ring

A computational criterion of irreducibility in $\mathbb Z[X]$?

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