Question

Localization of a infinite sum of ideals not equal to infinite sum of localized ideals

score 182 · Answer 1 · 2020-07-10 13:56:50

182

Views

Localization of a infinite sum of ideals not equal to infinite sum of localized ideals

Published on 10 Jul 2020 - 13:56

score 149 · Answer 2 · 2026-03-25 14:24:01

149

Views

(N:M) is contained in a homogeneous maximal ideal in a graded ring

Published on 25 Mar 2026 - 14:24

score 154 · Answer 3 · 2020-07-15 17:39:34

154

Views

Is $S^{-1}R$ a free $R$-module?

Published on 15 Jul 2020 - 17:39

score 743 · Answer 4 · 2020-07-25 20:07:37

743

Views

Showing that $(\mathbb{C}[x,y]/(xy))_x\cong \mathbb{C}[x]_x$

Published on 25 Jul 2020 - 20:07

score 42 · Answer 5 · 2026-03-25 21:31:30

42

Views

Let $R$ be a $\mathbb Z$ graded ring and let $f \in R_1$ where $f \ne 0$. Show that $R[f^{-1}]$ is a $\mathbb Z$ graded ring.

Published on 25 Mar 2026 - 21:31

score 43 · Answer 6 · 2020-07-30 12:04:44

43

Views

What is an example of a localization of a non-simple, nilpotent space?

Published on 30 Jul 2020 - 12:04

score 224 · Answer 7 · 2016-07-18 07:14:47

224

Views

$f:A\to B$ flat homomorphism of rings, $Q$ is a prime ideal of $B,$ and $P=Q^c.$ Why is $B_Q$ a local ring of $B_P?$

Published on 18 Jul 2016 - 7:14

score 2.6k · Answer 8 · 2016-07-18 22:30:01

2.6k

Views

An elementary proof that $k[x,y]/(xy-1)\cong k[x]_x$, where $k$ is a field

Published on 18 Jul 2016 - 22:30

score 43 · Answer 9 · 2026-03-25 13:53:44

43

Views

Is $R_\mathfrak{p}$ local when $R$ is noncommutative?

Published on 25 Mar 2026 - 13:53

score 83 · Answer 10 · 2016-07-27 17:53:04

83

Views

How to show that the field of fractions of a domain $A$ is $\{ab^{-1}: a \in A, b \in A-\{0\}\}$?

Published on 27 Jul 2016 - 17:53

score 43 · Answer 11 · 2016-08-01 16:23:14

43

Views

Localizing matrices at a prime ideal of the base ring.

Published on 01 Aug 2016 - 16:23

score 62 · Answer 12 · 2016-08-04 04:04:44

62

Views

Commutative Algebra Proof Critique

Published on 04 Aug 2016 - 4:04

score 3k · Answer 13 · 2016-08-04 23:00:59

3k

Views

Localization of a finitely generated module.

Published on 04 Aug 2016 - 23:00

score 96 · Answer 14 · 2016-08-21 22:21:30

96

Views

How does $R[f^{-1}]$ differ from $R_f$?

Published on 21 Aug 2016 - 22:21

score 117 · Answer 15 · 2016-09-07 04:15:07

117

Views

If $(A/\mathfrak{m})_{\pi(f)}$ is a field then $A/\mathfrak{m}$ is a field

Published on 07 Sep 2016 - 4:15

List Question

Localization of a infinite sum of ideals not equal to infinite sum of localized ideals

(N:M) is contained in a homogeneous maximal ideal in a graded ring

Is $S^{-1}R$ a free $R$-module?

Showing that $(\mathbb{C}[x,y]/(xy))_x\cong \mathbb{C}[x]_x$

Let $R$ be a $\mathbb Z$ graded ring and let $f \in R_1$ where $f \ne 0$. Show that $R[f^{-1}]$ is a $\mathbb Z$ graded ring.

What is an example of a localization of a non-simple, nilpotent space?

$f:A\to B$ flat homomorphism of rings, $Q$ is a prime ideal of $B,$ and $P=Q^c.$ Why is $B_Q$ a local ring of $B_P?$

An elementary proof that $k[x,y]/(xy-1)\cong k[x]_x$, where $k$ is a field

Is $R_\mathfrak{p}$ local when $R$ is noncommutative?

How to show that the field of fractions of a domain $A$ is $\{ab^{-1}: a \in A, b \in A-\{0\}\}$?

Localizing matrices at a prime ideal of the base ring.

Commutative Algebra Proof Critique

Localization of a finitely generated module.

How does $R[f^{-1}]$ differ from $R_f$?

If $(A/\mathfrak{m})_{\pi(f)}$ is a field then $A/\mathfrak{m}$ is a field

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