List questions from localization

Published on 12 Nov 2016 - 19:18

163

Views

Show that $\mathrm{Spec}\, R_{\mathfrak p}=\{\mathfrak qR_{\mathfrak p}\mid \mathfrak q\subset \mathfrak p, \mathfrak q\in\mathrm{Spec}(R)\}$

Published on 12 Nov 2016 - 20:04

74

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Localisation : an example where $r's-rs'\neq 0$ but $(r,s)\sim(r',s')$

Published on 12 Nov 2016 - 20:37

1.5k

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Showing that Every Nonzero Commutative Ring with Element $a$ that is not a Zero Divisor can be Enlarged to $Q(R, T)$

Published on 16 Nov 2016 - 16:06

217

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Proposition $3.5$ from Commutative Algebra- Atiyah MacDonald

Published on 19 Nov 2016 - 18:28

66

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Right fibrations over $N(\Delta)$ as complete Segal spaces

Published on 22 Nov 2016 - 16:19

765

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Localization of a module at a prime ideal and local behavior.

Published on 23 Nov 2016 - 14:05

320

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Tensor product and localisation of integers

Published on 25 Nov 2016 - 23:59

428

Views

Confused about localization for affine varieties and affine schemes?

Published on 26 Nov 2016 - 5:51

159

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When is $RS^{-1}$ a local ring?

Published on 25 Mar 2026 - 13:51

221

Views

Generating element of local ring in a purely inseparable extension

Published on 25 Mar 2026 - 6:02

782

Views

Determining the sections of a sheaf on any open via a sheaf on basic open sets

Published on 30 Nov 2016 - 19:46

161

Views

Equivalent conditions for a finitely presented module

Published on 03 Dec 2016 - 10:02

138

Views

When can an algebraic number be approximated by a $p$-adic number?

Published on 25 Mar 2026 - 4:38

383

Views

Equivalent conditions for a finite module over a Noetherian domain

Published on 26 Mar 2026 - 7:58

List Question

Recognizing the field $F=\mathbb{Z}_{p\mathbb{Z}}/\langle \frac{p}{1}\rangle$.

Show that $\mathrm{Spec}\, R_{\mathfrak p}=\{\mathfrak qR_{\mathfrak p}\mid \mathfrak q\subset \mathfrak p, \mathfrak q\in\mathrm{Spec}(R)\}$

Localisation : an example where $r's-rs'\neq 0$ but $(r,s)\sim(r',s')$

Showing that Every Nonzero Commutative Ring with Element $a$ that is not a Zero Divisor can be Enlarged to $Q(R, T)$

Proposition $3.5$ from Commutative Algebra- Atiyah MacDonald

Right fibrations over $N(\Delta)$ as complete Segal spaces

Localization of a module at a prime ideal and local behavior.

Tensor product and localisation of integers

Confused about localization for affine varieties and affine schemes?

When is $RS^{-1}$ a local ring?

Generating element of local ring in a purely inseparable extension

Determining the sections of a sheaf on any open via a sheaf on basic open sets

Equivalent conditions for a finitely presented module

When can an algebraic number be approximated by a $p$-adic number?

Equivalent conditions for a finite module over a Noetherian domain

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