List questions from localization

Published on 27 Mar 2026 - 4:21

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(Reference) Does a ring's grading commute with the formation of fractions?

Published on 27 Mar 2026 - 3:58

1.8k

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Question about nilradicals and localization?

Published on 19 Jul 2017 - 4:09

191

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Does a map between the localizations have to be induced by something?

Published on 19 Jul 2017 - 12:39

189

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about correspondence between ideal of a ring and ideal of its localized ring

Published on 01 Aug 2017 - 14:44

54

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Minimal no. of generators of $mA_m$ , where $m$ is the maximal ideal $(\bar x -1 , \bar y -1)$ of $A=\mathbb C[x,y]/(x^3-y^2)$

Published on 28 Mar 2026 - 12:15

106

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On simplifying $mR_m/m^2R_m$ where $m$ is maximal ideal of $R$

Published on 28 Mar 2026 - 12:14

357

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Motivation for some exercises in Atiyah-Macdonald

Published on 05 Aug 2017 - 4:25

213

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Is $x$ a unit if it is a unit in every localization at a maximal ideal?

Published on 05 Aug 2017 - 10:45

272

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What is the equivalence class $a/0$ equal to?

Published on 06 Aug 2017 - 15:46

52

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Is the function $\eta$ surjective?

Published on 06 Aug 2017 - 18:06

669

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Any Artinian ring is direct product of its localizations at the maximal ideals

Published on 25 Mar 2026 - 18:49

658

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If $a$ in $S$ is a zero-divisor what is the quotient $\frac{a}{b}$ equal to? What about the quotient $\frac{0}{0}$?

Published on 07 Aug 2017 - 19:48

48

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Question about notation/conventions for localizations of R-algebras

Published on 10 Aug 2017 - 11:29

34

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A question on localization

Published on 28 Aug 2017 - 11:32

List Question

Universal property of localization of modules

(Reference) Does a ring's grading commute with the formation of fractions?

Question about nilradicals and localization?

Does a map between the localizations have to be induced by something?

about correspondence between ideal of a ring and ideal of its localized ring

Minimal no. of generators of $mA_m$ , where $m$ is the maximal ideal $(\bar x -1 , \bar y -1)$ of $A=\mathbb C[x,y]/(x^3-y^2)$

On simplifying $mR_m/m^2R_m$ where $m$ is maximal ideal of $R$

Motivation for some exercises in Atiyah-Macdonald

Is $x$ a unit if it is a unit in every localization at a maximal ideal?

What is the equivalence class $a/0$ equal to?

Is the function $\eta$ surjective?

Any Artinian ring is direct product of its localizations at the maximal ideals

If $a$ in $S$ is a zero-divisor what is the quotient $\frac{a}{b}$ equal to? What about the quotient $\frac{0}{0}$?

Question about notation/conventions for localizations of R-algebras

A question on localization

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