List questions from localization

Published on 21 Feb 2017 - 23:32

60

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Can prime ideals of $B^{-1}A$ be identified with prime ideals of $A$ containing no elements of $B$?

Published on 22 Feb 2017 - 9:42

41

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Maximal ideals of $B^{-1}A$ identified with maximal ideals of $A$ containing no elements of $B$

Published on 22 Feb 2017 - 10:27

133

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What space corresponds to the localisation of the ring of continuous functions?

Published on 23 Feb 2026 - 2:59

95

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Can the prime ideals of $A_a$ be identified with those prime ideals of $A$ which do not contain $a$?

Published on 22 Feb 2017 - 18:33

94

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Prime ideals of the complete ring of quotients

Published on 23 Feb 2017 - 15:19

215

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Is $A_P$ a GCD domain?

Published on 24 Feb 2017 - 9:43

458

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There isn't a "going in-between" theorem for integral ring extensions, is there?

Published on 25 Feb 2017 - 2:04

42

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Minimal ideals of localizations

Published on 26 Feb 2017 - 5:45

94

Views

Question about correspondence of ideals in rings of fractions (if $S^{-1}q'$ is a maximal ideal containing $S^{-1}b,$ then must $q'$ contain $b$?)

Published on 28 Feb 2017 - 0:29

84

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How to compute localizations of categories?

Published on 28 Feb 2017 - 15:06

126

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If $M$ is torsionfree then $M$ embeds in $M \otimes Q$

Published on 01 Mar 2017 - 15:53

170

Views

Localization of algebras

Published on 01 Mar 2017 - 20:18

1.6k

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Localization of the polynomial ring $k[x]$.

Published on 02 Mar 2017 - 1:16

183

Views

If $R_P$ is an integral domain for every prime $P$ then is $R$ reduced?

Published on 02 Mar 2017 - 5:51

List Question

Localization in $\mathcal M_2(\mathbb{R})$

Can prime ideals of $B^{-1}A$ be identified with prime ideals of $A$ containing no elements of $B$?

Maximal ideals of $B^{-1}A$ identified with maximal ideals of $A$ containing no elements of $B$

What space corresponds to the localisation of the ring of continuous functions?

Can the prime ideals of $A_a$ be identified with those prime ideals of $A$ which do not contain $a$?

Prime ideals of the complete ring of quotients

Is $A_P$ a GCD domain?

There isn't a "going in-between" theorem for integral ring extensions, is there?

Minimal ideals of localizations

Question about correspondence of ideals in rings of fractions (if $S^{-1}q'$ is a maximal ideal containing $S^{-1}b,$ then must $q'$ contain $b$?)

How to compute localizations of categories?

If $M$ is torsionfree then $M$ embeds in $M \otimes Q$

Localization of algebras

Localization of the polynomial ring $k[x]$.

If $R_P$ is an integral domain for every prime $P$ then is $R$ reduced?

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