List questions from polynomial-rings

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Describe explicitly $\text{spec}(\mathbb{R}[x])$ and $\text{spec}(\mathbb{C}[x])$

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Kernel of a polynomial ring homomorphism

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Prime ideals in multi-variable polynomial rings over $\mathbb{Z}$

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Difference between $F[x,y] $ and $F(x)[y]$ in Ring theory

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Is $A[[x_1,x_2,\dots]]$ flat over $A[x_1,x_2,\dots]$? ($A$ noetherian and commutative)

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Listing all Possible ideals of ring $F[x]/(p(x))$ where F is field and p(x) is polynomial in $F[x]$

Published on 16 Apr 2026 - 9:01

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Clarification about a proof regarding a sum of polynomials being expressed as a linear combination of S-polynomials

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Ideals in polynomial ring

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Subrings $A$ of $\mathbb{F}_p[x]$ such that $\dim_{\mathbb{F}_p}\mathbb{F}_p[x]/A=1$.

Published on 17 Apr 2026 - 0:48

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Polynomial rings and ideals

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Proving $f(x)=x^4+4x^3+3x^2+7x-4$ is irreducible

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Zeros in Splitting Factor Rings

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Find an ideal $I$ in $A$ so that $A/I$ is a finite field with $25$ elements.

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Description of ideals of a polynomial ring

Published on 13 Apr 2026 - 8:42

List Question

Zero divisors of $\mathbb{Z}_{7}[x] / (x^4+x^3-3)$ and inverse element of $\overline{x+1}$

Describe explicitly $\text{spec}(\mathbb{R}[x])$ and $\text{spec}(\mathbb{C}[x])$

Kernel of a polynomial ring homomorphism

Prime ideals in multi-variable polynomial rings over $\mathbb{Z}$

Difference between $F[x,y] $ and $F(x)[y]$ in Ring theory

Is $A[[x_1,x_2,\dots]]$ flat over $A[x_1,x_2,\dots]$? ($A$ noetherian and commutative)

Listing all Possible ideals of ring $F[x]/(p(x))$ where F is field and p(x) is polynomial in $F[x]$

Clarification about a proof regarding a sum of polynomials being expressed as a linear combination of S-polynomials

Ideals in polynomial ring

Subrings $A$ of $\mathbb{F}_p[x]$ such that $\dim_{\mathbb{F}_p}\mathbb{F}_p[x]/A=1$.

Polynomial rings and ideals

Proving $f(x)=x^4+4x^3+3x^2+7x-4$ is irreducible

Zeros in Splitting Factor Rings

Find an ideal $I$ in $A$ so that $A/I$ is a finite field with $25$ elements.

Description of ideals of a polynomial ring

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