List questions from localization

Published on 01 Feb 2015 - 12:26

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The localization of a ring at a maximal ideal

Published on 25 Mar 2026 - 23:09

34

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$I=(I:s)\cap (I, s)$

Published on 13 Feb 2015 - 10:45

1.2k

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Localization of tensor products

Published on 14 Feb 2015 - 13:01

596

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Is the localization of R by S is a subset of the ring R

Published on 16 Feb 2015 - 0:47

188

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If $Q$ is a radical ideal of $R$ with $Q∩S=∅$, then $QR_S$ is a radical ideal of $R_S$

Published on 16 Feb 2015 - 1:03

1.5k

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show if $P$ is minimal prime ideal of $R$ then every element of $PR_P$ is nilpotent.

Published on 16 Feb 2015 - 8:06

341

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Show if $\mathfrak p$ is a minimal prime ideal of $R$ then $\mathfrak pR_\mathfrak p$ is the only prime ideal of $R_\mathfrak p$

Published on 16 Feb 2015 - 8:43

281

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Show if $R$ is Noetherian, then $R_S$ is Noetherian

Published on 27 Mar 2026 - 13:19

874

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Why is the structure sheaf for the spectrum of a ring defined locally?

Published on 17 Feb 2015 - 14:32

221

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what can be said about $spec(R_m)$, where $R_m$ is localization of $R$ at maximal ideal $m$

Published on 19 Feb 2015 - 0:02

208

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Multiplicity of intersection notation question

Published on 24 Mar 2015 - 17:35

713

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A universal construction of the field of fractions of an integral domain?

Published on 26 Mar 2026 - 17:37

616

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Atiyah-Macdonald, Chapter 3, Exercise 18. Why is $B_q$ a local ring of $B_p$?

Published on 30 Mar 2015 - 5:08

268

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Isomorphism of Localizations

Published on 26 Mar 2026 - 6:25

List Question

Homotopy category of chain complexes as a localization

The localization of a ring at a maximal ideal

$I=(I:s)\cap (I, s)$

Localization of tensor products

Is the localization of R by S is a subset of the ring R

If $Q$ is a radical ideal of $R$ with $Q∩S=∅$, then $QR_S$ is a radical ideal of $R_S$

show if $P$ is minimal prime ideal of $R$ then every element of $PR_P$ is nilpotent.

Show if $\mathfrak p$ is a minimal prime ideal of $R$ then $\mathfrak pR_\mathfrak p$ is the only prime ideal of $R_\mathfrak p$

Show if $R$ is Noetherian, then $R_S$ is Noetherian

Why is the structure sheaf for the spectrum of a ring defined locally?

what can be said about $spec(R_m)$, where $R_m$ is localization of $R$ at maximal ideal $m$

Multiplicity of intersection notation question

A universal construction of the field of fractions of an integral domain?

Atiyah-Macdonald, Chapter 3, Exercise 18. Why is $B_q$ a local ring of $B_p$?

Isomorphism of Localizations

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