List questions from localization

Published on 17 Nov 2014 - 17:59

165

Views

Localization Question: $\frac{a}{b}\in\left(\mathbb{Z}_{(p)}\right)^{\times}\iff\frac{b}{a}\in\mathbb{Z}_{(p)}$

Published on 03 Dec 2014 - 16:28

85

Views

Confusion about the definition of localization

Published on 06 Dec 2014 - 23:51

916

Views

Intersection of localizations of an integral domain

Published on 07 Dec 2014 - 11:51

1.4k

Views

Can a multiplicatively closed subset contain zero?

Published on 09 Dec 2014 - 15:19

182

Views

Why is $S^{-1}A$ the initial object in this category?

Published on 23 Dec 2014 - 8:59

242

Views

Question about localization

Published on 26 Dec 2014 - 3:34

576

Views

Direct way to show that 2-out-of-6 holds for weak equivalences in a model category?

Published on 30 Dec 2014 - 4:55

1k

Views

Units in a ring of fractions

Published on 02 Jan 2015 - 22:55

31

Views

What is the local ring of the sheaf of regular functions with respect a component T

Published on 04 Oct 2019 - 14:01

2.3k

Views

Localization commutes with arbitrary direct sums

Published on 09 Oct 2019 - 12:56

33

Views

Show that $(A-\mathfrak{p})^{-1}B$ is semi local for number ring extension $A\subset B$

Published on 09 Oct 2019 - 21:05

42

Views

If $M$ is a $R$-module in a $K$-vector space $V$, is $\widehat M \cap V = M_{\mathfrak p}$?

Published on 21 Mar 2026 - 13:25

414

Views

Show $\mathbb{Z}_{(p)} [ \sqrt{D}]$ is a UFD

Published on 20 Mar 2026 - 5:58

92

Views

Can you describe all the ways to "un-localize" a ring?

Published on 17 Oct 2019 - 15:30

List Question

Localization of polynomial ring as differentiable functions

Localization Question: $\frac{a}{b}\in\left(\mathbb{Z}_{(p)}\right)^{\times}\iff\frac{b}{a}\in\mathbb{Z}_{(p)}$

Confusion about the definition of localization

Intersection of localizations of an integral domain

Can a multiplicatively closed subset contain zero?

Why is $S^{-1}A$ the initial object in this category?

Question about localization

Direct way to show that 2-out-of-6 holds for weak equivalences in a model category?

Units in a ring of fractions

What is the local ring of the sheaf of regular functions with respect a component T

Localization commutes with arbitrary direct sums

Show that $(A-\mathfrak{p})^{-1}B$ is semi local for number ring extension $A\subset B$

If $M$ is a $R$-module in a $K$-vector space $V$, is $\widehat M \cap V = M_{\mathfrak p}$?

Show $\mathbb{Z}_{(p)} [ \sqrt{D}]$ is a UFD

Can you describe all the ways to "un-localize" a ring?

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