List questions from localization

Published on 23 Feb 2026 - 11:46

45

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Nonzero elements in localization

Published on 24 Aug 2023 - 19:04

175

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Why does $1/f$ count as a regular polynomial function on $D(f)$?

Published on 29 Aug 2023 - 22:46

61

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If $M$ and $N$ are finitely generated $R$-modules such that their tensor product is $0$, then their annihilators over $R$ are comaximal

Published on 07 Sep 2023 - 10:59

99

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Localizing a ring twice

Published on 09 Sep 2023 - 12:06

79

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Krull dimension of the local ring at the generic point of a divisor is 1.

Published on 26 Mar 2026 - 6:08

99

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Is being finitely generated a local property

Published on 28 Mar 2026 - 3:26

61

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Difference between $R/P$ and $R_P$

Published on 22 Sep 2023 - 15:33

108

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Is the ring of formal power series a localization of some non local ring at prime ideals?

Published on 25 Mar 2026 - 20:22

71

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A principal ideal is prime in a coprime localization -- is it prime in the ring?

Published on 25 Mar 2026 - 14:26

54

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Dedekind domain, non PID, localization over maximal ideals.

Published on 26 Mar 2026 - 1:02

34

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Ad hoc proof of the fact that the localization of a ring of integers at a nonzero prime ideal is a PID

Published on 25 Mar 2026 - 23:42

365

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Ring of continuous functions and its localizations

Published on 17 Oct 2023 - 11:11

46

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$\varphi:C \rightarrow V$ is a closed immersion iff $\varphi$ is injective and $\varphi^*:O_{V,\varphi(P)} \rightarrow O_{C,P}$ is surjective

Published on 18 Oct 2023 - 17:27

60

Views

What is the relationship between irreducibility of a polynomial and integral domain?

Published on 25 Mar 2026 - 13:34

List Question

Is every local martingale right continuous?

Nonzero elements in localization

Why does $1/f$ count as a regular polynomial function on $D(f)$?

If $M$ and $N$ are finitely generated $R$-modules such that their tensor product is $0$, then their annihilators over $R$ are comaximal

Localizing a ring twice

Krull dimension of the local ring at the generic point of a divisor is 1.

Is being finitely generated a local property

Difference between $R/P$ and $R_P$

Is the ring of formal power series a localization of some non local ring at prime ideals?

A principal ideal is prime in a coprime localization -- is it prime in the ring?

Dedekind domain, non PID, localization over maximal ideals.

Ad hoc proof of the fact that the localization of a ring of integers at a nonzero prime ideal is a PID

Ring of continuous functions and its localizations

$\varphi:C \rightarrow V$ is a closed immersion iff $\varphi$ is injective and $\varphi^*:O_{V,\varphi(P)} \rightarrow O_{C,P}$ is surjective

What is the relationship between irreducibility of a polynomial and integral domain?

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