List questions from krull-dimension

Published on 05 May 2026 - 5:45

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Dimension of Quotient of Noetherian local ring

Published on 29 Apr 2026 - 12:42

891

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Motivation behind the Krull Dimension of a ring

Published on 29 Apr 2026 - 12:53

292

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ring satisfying a.c.c. on radical ideals, with nilpotent nilradical and every prime ideal maximal

Published on 07 May 2026 - 17:55

255

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Why does a zero-dimensional irreducible space have no non-trivial open subsets?

Published on 30 Apr 2026 - 3:55

247

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torsion-free modules $M$ over Noetherian domain of dimension $1$ for which $l(M/aM) \le (\dim_K K \otimes_R M) \cdot l(R/aR), \forall 0 \ne a \in R$

Published on 29 Apr 2026 - 12:42

502

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Localization of PID, if DVR, is a localization at a prime ideal

Published on 29 Apr 2026 - 12:24

403

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How to prove that $\dim \mathrm{Spec}~A = \dim \mathrm{Spec}~ A_\mathfrak{p} + \dim \mathrm{Spec}~A/\mathfrak{p}$.

Published on 29 Apr 2026 - 12:54

350

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Proof of Krull's Height Theorem for irreducible affine varieties

Published on 04 May 2026 - 7:00

325

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Dimension of certain type of finitely generated $k$-algebra

Published on 01 May 2026 - 8:40

278

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Integral domain with Noetherian spectrum and algebraically closed fraction field

Published on 05 May 2026 - 1:04

325

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Krull-Dimension of $k[X, Y , Z]/(Y-Z^2, XZ-Y^2)$

Published on 29 Apr 2026 - 12:49

117

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Looking for easy example of 2-dimensional Noetherian domain which is not Cohen-Macaulay

Published on 02 May 2026 - 7:00

137

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Statement of Lech's lemma

Published on 29 Apr 2026 - 12:43

166

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Do the prime ideals that determine the Krull dimension of a ring have to be proper?

Published on 02 May 2026 - 3:38

List Question

Krull dimension of a direct product of rings

Dimension of Quotient of Noetherian local ring

Motivation behind the Krull Dimension of a ring

ring satisfying a.c.c. on radical ideals, with nilpotent nilradical and every prime ideal maximal

Why does a zero-dimensional irreducible space have no non-trivial open subsets?

torsion-free modules $M$ over Noetherian domain of dimension $1$ for which $l(M/aM) \le (\dim_K K \otimes_R M) \cdot l(R/aR), \forall 0 \ne a \in R$

Localization of PID, if DVR, is a localization at a prime ideal

How to prove that $\dim \mathrm{Spec}~A = \dim \mathrm{Spec}~ A_\mathfrak{p} + \dim \mathrm{Spec}~A/\mathfrak{p}$.

Proof of Krull's Height Theorem for irreducible affine varieties

Dimension of certain type of finitely generated $k$-algebra

Integral domain with Noetherian spectrum and algebraically closed fraction field

Krull-Dimension of $k[X, Y , Z]/(Y-Z^2, XZ-Y^2)$

Looking for easy example of 2-dimensional Noetherian domain which is not Cohen-Macaulay

Statement of Lech's lemma

Do the prime ideals that determine the Krull dimension of a ring have to be proper?

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