List questions from commutative-algebra

Published on 22 Mar 2026 - 20:50

166

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Does every valuation ring arise out of a valuation?

Published on 17 Mar 2026 - 14:49

521

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Noetherian local domain of dimension one

Published on 20 Mar 2026 - 3:15

1.1k

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Polynomial rings are regular

Published on 20 Mar 2026 - 10:04

304

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Dimension of Quotient of Noetherian local ring

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74

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localization of quotient of a polynomial ring

Published on 21 Jan 2018 - 0:48

231

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Calculating the residue field of $\mathbb{F}_q(t)$ with respect to the valuation $-\deg$

Published on 17 Mar 2026 - 7:41

283

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Hensel Lemma and cyclotomic polynomial

Published on 22 Mar 2026 - 8:31

100

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Spectrum of $\mathbb{Z}[\frac{1}{6}]$

Published on 20 Mar 2026 - 0:31

48

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In $A=k[[X^2,X^3]]$ no prime power is equal to $(X^3)$

Published on 25 Mar 2026 - 3:03

74

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Coordinate ring of $V \subset \mathbb{A}^n$ variety

Published on 25 Mar 2026 - 1:23

83

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Principal ideal over a ring

Published on 22 Jan 2018 - 1:22

72

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Integral Elements of $\mathbb{Q[x]}$ in $\mathbb{Q(x)}$

Published on 24 Mar 2026 - 23:44

150

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Let $K = \mathbb{Q}\left(\frac{-1+\sqrt{-3}}{2}\right)$. Show that $\mathcal{O}_K = \mathbb{Z}\left[\frac{-1+\sqrt{-3}}{2}\right]$.

Published on 25 Mar 2026 - 3:03

146

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injective hull of a ring that is not integral domain

Published on 24 Mar 2026 - 22:39

List Question

Krull dimension of a direct product of rings

Does every valuation ring arise out of a valuation?

Noetherian local domain of dimension one

Polynomial rings are regular

Dimension of Quotient of Noetherian local ring

localization of quotient of a polynomial ring

Calculating the residue field of $\mathbb{F}_q(t)$ with respect to the valuation $-\deg$

Hensel Lemma and cyclotomic polynomial

Spectrum of $\mathbb{Z}[\frac{1}{6}]$

In $A=k[[X^2,X^3]]$ no prime power is equal to $(X^3)$

Coordinate ring of $V \subset \mathbb{A}^n$ variety

Principal ideal over a ring

Integral Elements of $\mathbb{Q[x]}$ in $\mathbb{Q(x)}$

Let $K = \mathbb{Q}\left(\frac{-1+\sqrt{-3}}{2}\right)$. Show that $\mathcal{O}_K = \mathbb{Z}\left[\frac{-1+\sqrt{-3}}{2}\right]$.

injective hull of a ring that is not integral domain

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