List questions from polynomial-rings

Published on 08 Apr 2026 - 20:16

418

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Krull dimension of polynomial ring in one variable

Published on 11 Apr 2026 - 19:33

298

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Basis for a quotient of a polynomial ring

Published on 14 Apr 2026 - 6:33

254

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Number of maximal ideals of $F_q[x_1,...,x_n]$

Published on 17 Apr 2026 - 10:09

323

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Number of irreducible monic polynomials of degree $3$ over $\Bbb F_p$, $p$ prime

Published on 13 Apr 2026 - 19:48

260

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Space of polynomials is isomorphic to a proper subspace of itself

Published on 16 Apr 2026 - 3:27

239

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Confusion about length of module over different rings and Macaulay2 code about computing length of module.

Published on 06 May 2026 - 8:37

191

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Prime ideals in R[x] having the same contraction in R

Published on 12 Apr 2026 - 10:24

251

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Is $\mathbb{Z}[x,y]/(x^3+px+q - y^2)$ integral over $\mathbb{Z}[x]$?

Published on 05 May 2026 - 5:44

42

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I don't understand a question ("polynomial ring $\mathbb{C}[T]$ where $T(w)=Aw$")

Published on 13 Apr 2026 - 11:34

94

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Eigenvalues of an endomorphism over a polynomial ring

Published on 14 Apr 2026 - 6:19

36

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Verifying answer: Describing explicitly $V(I)$ where $I$ is an ideal of $K[x,y,z]$

Published on 16 Apr 2026 - 6:21

481

Views

The Jacobson radical of a polynomial ring is contained in the nilradical.

Published on 11 Apr 2026 - 18:37

1.5k

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Prove that polynomial ring $R[X][Y]$ is the same as ring of polynomials in $2$ variables $R[X,Y]$.

Published on 16 Apr 2026 - 10:57

206

Views

Maximal ideal of $\mathbb{Z}_{n}[x]$ if $n$ is composite

Published on 03 Apr 2026 - 13:06

List Question

Understanding the Definition of Ideals Generated by Polynomials

Krull dimension of polynomial ring in one variable

Basis for a quotient of a polynomial ring

Number of maximal ideals of $F_q[x_1,...,x_n]$

Number of irreducible monic polynomials of degree $3$ over $\Bbb F_p$, $p$ prime

Space of polynomials is isomorphic to a proper subspace of itself

Confusion about length of module over different rings and Macaulay2 code about computing length of module.

Prime ideals in R[x] having the same contraction in R

Is $\mathbb{Z}[x,y]/(x^3+px+q - y^2)$ integral over $\mathbb{Z}[x]$?

I don't understand a question ("polynomial ring $\mathbb{C}[T]$ where $T(w)=Aw$")

Eigenvalues of an endomorphism over a polynomial ring

Verifying answer: Describing explicitly $V(I)$ where $I$ is an ideal of $K[x,y,z]$

The Jacobson radical of a polynomial ring is contained in the nilradical.

Prove that polynomial ring $R[X][Y]$ is the same as ring of polynomials in $2$ variables $R[X,Y]$.

Maximal ideal of $\mathbb{Z}_{n}[x]$ if $n$ is composite

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