List questions from maximal-and-prime-ideals

Published on 05 Mar 2023 - 0:40

86

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Prime Ideals of Products of $\mathbb Z_p$

Published on 06 Mar 2023 - 16:26

67

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Give an example about associated primes where two containments are proper.

Published on 07 Mar 2023 - 9:31

55

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Maximal ideal of $C(\mathbb{R})$

Published on 07 Mar 2023 - 9:51

52

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Ideals in a Von-Neumann regular ring

Published on 08 Mar 2023 - 5:03

64

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$k$-rational points in affine varieties (characterization of closed points $x$ of affine $k$-varieties with $[\kappa(x):k]=1$)

Published on 08 Mar 2023 - 13:20

79

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Maximal homogeneous ideals in graded ring A[T]

Published on 26 Mar 2026 - 5:16

53

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Maximal ideals of ring of continous functions on $\mathbb{R}$

Published on 11 Mar 2023 - 11:27

199

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"Simpler" proof of general Nullstellensatz for Jacobson rings.

Published on 14 Mar 2023 - 18:40

25

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If $A\subset B$, $\mathfrak{p}$ be a prime of $A$, $x+\mathfrak{p}B$ is a unit, irreducible $f\in A[X]$ has $f(x)=0$, must $[X^0]f\notin\mathfrak{p}$?

Published on 15 Mar 2023 - 19:40

78

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Inverse image of maximal ideals under finite type ring maps.

Published on 15 Mar 2023 - 20:25

93

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Commutative algebra: Irreducible components of $\operatorname{Spec}(A)$

Published on 25 Mar 2026 - 23:33

47

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length of $\mathbb{C}[x]/(x^{50}+x+1)\mathbb{C}[x]$ as a $\mathbb{C}[x]$-module

Published on 29 Mar 2026 - 2:12

52

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Prime ideal on $C^\infty((-1, 1))$ that is properly contained in the prime ideal consisting of all functions whose derivatives are all $0$.

Published on 29 Mar 2023 - 9:12

326

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What is an Archimedean prime?

Published on 26 Mar 2026 - 2:54

List Question

Commutative ring without unit and maximal ideals

Prime Ideals of Products of $\mathbb Z_p$

Give an example about associated primes where two containments are proper.

Maximal ideal of $C(\mathbb{R})$

Ideals in a Von-Neumann regular ring

$k$-rational points in affine varieties (characterization of closed points $x$ of affine $k$-varieties with $[\kappa(x):k]=1$)

Maximal homogeneous ideals in graded ring A[T]

Maximal ideals of ring of continous functions on $\mathbb{R}$

"Simpler" proof of general Nullstellensatz for Jacobson rings.

If $A\subset B$, $\mathfrak{p}$ be a prime of $A$, $x+\mathfrak{p}B$ is a unit, irreducible $f\in A[X]$ has $f(x)=0$, must $[X^0]f\notin\mathfrak{p}$?

Inverse image of maximal ideals under finite type ring maps.

Commutative algebra: Irreducible components of $\operatorname{Spec}(A)$

length of $\mathbb{C}[x]/(x^{50}+x+1)\mathbb{C}[x]$ as a $\mathbb{C}[x]$-module

Prime ideal on $C^\infty((-1, 1))$ that is properly contained in the prime ideal consisting of all functions whose derivatives are all $0$.

What is an Archimedean prime?

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