List questions from localization

Published on 01 Dec 2019 - 20:35

82

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Let $\mathbb{Z}_{(p)}$ be the localization of $\mathbb{Z}$ with respect to $\mathbb{Z}\setminus (p)$. Then $\frac{p}{1}$ is the only prime.

Published on 07 Dec 2019 - 3:59

53

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Characterization of $S^{-1}R$-modules

Published on 10 Dec 2019 - 8:25

108

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Question about localisation in Hartshorne

Published on 25 Mar 2026 - 18:24

174

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Rings and locales

Published on 26 Mar 2026 - 3:19

120

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What does the notation $\mathbb{Z}_{(2)}$ mean?

Published on 06 Jan 2020 - 13:28

119

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Show that the following localization is Noetherian

Published on 26 Mar 2026 - 12:35

311

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Clarification about proof of Atiyah-Macdonald $3.19$ viii)

Published on 27 Mar 2026 - 12:13

341

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Question about localization of a local ring.

Published on 13 Jan 2020 - 14:02

314

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On modules which elements are annihilated by a power of the maximal ideal and localization

Published on 25 Mar 2026 - 6:03

83

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Integral domain and localization

Published on 26 Mar 2026 - 2:52

64

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How are these isomorphic $ K \otimes_{k_0} k \cong S^{-1} \left( R \otimes_{k_0} k \Big{/} P_0 \cdot (R \otimes_{k_0} k) \right)$

Published on 20 Jan 2020 - 9:58

132

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How to embed the localization of a subring

Published on 20 Jan 2020 - 16:28

321

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The nilradical of the localisation is the localisation of the nilradical

Published on 02 Feb 2020 - 7:46

165

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Localization of ring of integers at discriminant

Published on 25 Mar 2026 - 17:40

List Question

Localization of integral ring extension is not integral, in general

Let $\mathbb{Z}_{(p)}$ be the localization of $\mathbb{Z}$ with respect to $\mathbb{Z}\setminus (p)$. Then $\frac{p}{1}$ is the only prime.

Characterization of $S^{-1}R$-modules

Question about localisation in Hartshorne

Rings and locales

What does the notation $\mathbb{Z}_{(2)}$ mean?

Show that the following localization is Noetherian

Clarification about proof of Atiyah-Macdonald $3.19$ viii)

Question about localization of a local ring.

On modules which elements are annihilated by a power of the maximal ideal and localization

Integral domain and localization

How are these isomorphic $ K \otimes_{k_0} k \cong S^{-1} \left( R \otimes_{k_0} k \Big{/} P_0 \cdot (R \otimes_{k_0} k) \right)$

How to embed the localization of a subring

The nilradical of the localisation is the localisation of the nilradical

Localization of ring of integers at discriminant

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