List questions from localization

Published on 29 Apr 2026 - 12:49

682

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Localization of finite direct product of ring at an element

Published on 13 Apr 2026 - 11:10

153

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Intuitive computation of localizations

Published on 12 Apr 2026 - 2:52

580

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Localization at prime ideals of the infinite direct product of $\mathbb Z/2\mathbb Z$

Published on 17 Apr 2026 - 3:31

738

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Show that a localization a power series ring $R[[x]]$ by $S$ can be written a certain way.

Published on 05 May 2026 - 15:41

113

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Characterization of trivial localization of module?

Published on 14 Apr 2026 - 2:36

942

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Valuation ring lying between a valuation ring and its fraction field

Published on 14 Apr 2026 - 11:07

55

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Multiplicatively Closed subset of universal enveloping algebra $U(\mathfrak{g})$ which is not left localisable

Published on 29 Apr 2026 - 12:49

147

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localization of a free f.g. k-algebra at a prime ideal

Published on 13 Apr 2026 - 20:28

502

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

Published on 29 Apr 2026 - 12:24

173

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Associated primes to principal ideals in a Noetherian domain

Published on 29 Apr 2026 - 12:42

1k

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If a multiplicative set contains zero, then $S^{-1}A$ is trivial

Published on 16 Apr 2026 - 7:22

214

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For a countably infinite dimensional vector space, the localisation of $A= End_k(V)$ at surjective endomorphisms is the zero ring

Published on 29 Apr 2026 - 12:48

54

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If $R = k[x]_{(x)}$, why is $R_{(0)}\cong k(x)$?

Published on 14 Apr 2026 - 18:53

55

Views

If $A$ is a noncommutative unital ring and $S = A \setminus \{0\},$ when is $S^{-1}A$ a division ring?

Published on 17 Apr 2026 - 9:20

List Question

Completion of localization equals the completion

Localization of finite direct product of ring at an element

Intuitive computation of localizations

Localization at prime ideals of the infinite direct product of $\mathbb Z/2\mathbb Z$

Show that a localization a power series ring $R[[x]]$ by $S$ can be written a certain way.

Characterization of trivial localization of module?

Valuation ring lying between a valuation ring and its fraction field

Multiplicatively Closed subset of universal enveloping algebra $U(\mathfrak{g})$ which is not left localisable

localization of a free f.g. k-algebra at a prime ideal

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

Associated primes to principal ideals in a Noetherian domain

If a multiplicative set contains zero, then $S^{-1}A$ is trivial

For a countably infinite dimensional vector space, the localisation of $A= End_k(V)$ at surjective endomorphisms is the zero ring

If $R = k[x]_{(x)}$, why is $R_{(0)}\cong k(x)$?

If $A$ is a noncommutative unital ring and $S = A \setminus \{0\},$ when is $S^{-1}A$ a division ring?

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