List questions from localization

Published on 03 Jun 2016 - 11:05

187

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How to visualize an ideal after localization?

Published on 04 Jun 2016 - 21:43

2.9k

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Localization of a local ring

Published on 05 Jun 2016 - 19:05

164

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Localization of $\mathbb{Z}/p^k\mathbb{Z}$ at $S=\begin{Bmatrix}b^n : n\in \mathbb{N}\end{Bmatrix}$

Published on 05 Jun 2016 - 23:15

4.6k

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Show that $R_P$ has a unique maximal ideal

Published on 10 Jun 2016 - 18:06

561

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Total quotient ring of $\mathbb Z_{2^n}$

Published on 11 Jun 2016 - 15:11

196

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If $A$ is an integral domain with a finite number of primes then $Q(A)=A_a$ for some $a \in A$

Published on 12 Jun 2016 - 8:32

508

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Let $R$ be a commutative ring, $\phi :R\to S^{-1}R, \phi(r)=\frac{r}{1}$ then $\phi(r)$ is invertible iff $r\in S$

Published on 16 Jun 2016 - 1:22

972

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Tensor products and Residue fields

Published on 17 Jun 2016 - 15:00

47

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How can I proceed to find a maximal principal ideal in $\mathbb Z_{(2)}[x]$?

Published on 17 Jun 2016 - 23:03

175

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Dimension of polynomial rings and tensor products of residue fields

Published on 18 Jun 2016 - 7:40

1.3k

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Universal property, localization of rings and modules, and initial element in a category

Published on 29 Mar 2026 - 19:30

86

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Is there a redundant assumption in Exercise 2, page 14, from Janusz "Algebraic Number Fields"?

Published on 27 Jun 2016 - 12:04

176

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Form of the elements of a localization

Published on 30 Jun 2016 - 21:37

695

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Localisation of direct sum

Published on 01 Jul 2016 - 15:51

List Question

Quotient of a polynomial ring localized

How to visualize an ideal after localization?

Localization of a local ring

Localization of $\mathbb{Z}/p^k\mathbb{Z}$ at $S=\begin{Bmatrix}b^n : n\in \mathbb{N}\end{Bmatrix}$

Show that $R_P$ has a unique maximal ideal

Total quotient ring of $\mathbb Z_{2^n}$

If $A$ is an integral domain with a finite number of primes then $Q(A)=A_a$ for some $a \in A$

Let $R$ be a commutative ring, $\phi :R\to S^{-1}R, \phi(r)=\frac{r}{1}$ then $\phi(r)$ is invertible iff $r\in S$

Tensor products and Residue fields

How can I proceed to find a maximal principal ideal in $\mathbb Z_{(2)}[x]$?

Dimension of polynomial rings and tensor products of residue fields

Universal property, localization of rings and modules, and initial element in a category

Is there a redundant assumption in Exercise 2, page 14, from Janusz "Algebraic Number Fields"?

Form of the elements of a localization

Localisation of direct sum

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