Question

Prove that $A,B$ ideals in $R==(P(X),\Delta , \cap)$.

score 25 · Answer 1 · 2016-10-22 23:53:20

25

Views

Prove that $A,B$ ideals in $R==(P(X),\Delta , \cap)$.

Published on 22 Oct 2016 - 23:53

score 707 · Answer 2 · 2026-03-31 17:54:19

707

Views

How to show that the union of two closed sets in Spec(R) is closed?

Published on 31 Mar 2026 - 17:54

score 2.8k · Answer 3 · 2016-10-23 11:57:40

2.8k

Views

Why is the arbitrary sum, but not the arbitrary intersection, of ideals an ideal?

Published on 23 Oct 2016 - 11:57

score 53 · Answer 4 · 2016-10-24 00:03:42

53

Views

Exists $f \in k\{X\}$ such that $I = \{g \cdot f \mid g \in k\{X\}\}$?

Published on 24 Oct 2016 - 0:03

score 191 · Answer 5 · 2026-03-29 23:26:04

191

Views

Sum of two right T-nilpotent right ideals

Published on 29 Mar 2026 - 23:26

score 56 · Answer 6 · 2016-10-24 04:09:56

56

Views

$f,g\in k[x,y]$ are relatively prime , $p\in k[x]$ and $p\in (f,g)\subseteq k[x,y]$ ; if $f(x_0,y_0)=g(x_0,y_0)=1$ , then $p(x_0)=0$?

Published on 24 Oct 2016 - 4:09

score 51 · Answer 7 · 2026-03-31 17:53:26

51

Views

Existence of an element in a ring with a given property

Published on 31 Mar 2026 - 17:53

score 589 · Answer 8 · 2016-10-25 02:36:42

589

Views

Prove for any ideal $J$, $\operatorname{rad} J$ is an ideal of $A$, if $J$ is ideal of $A$.

Published on 25 Oct 2016 - 2:36

score 217 · Answer 9 · 2026-03-28 05:28:38

217

Views

Are these statements about the localization of a module true?

Published on 28 Mar 2026 - 5:28

score 163 · Answer 10 · 2026-03-31 17:49:12

163

Views

Minimal prime ideal in a ring of functions

Published on 31 Mar 2026 - 17:49

score 368 · Answer 11 · 2026-03-31 17:48:00

368

Views

How to calculate this Zariski cotangent space explicitly?

Published on 31 Mar 2026 - 17:48

score 1k · Answer 12 · 2016-10-25 22:21:45

1k

Views

Properties of radical ideals

Published on 25 Oct 2016 - 22:21

score 195 · Answer 13 · 2016-10-26 16:51:21

195

Views

Clarifying the proof of Theorem 5 in Pratulananda Das's "Some further results on ideal convergence in topological spaces"

Published on 26 Oct 2016 - 16:51

score 98 · Answer 14 · 2026-03-28 05:23:09

98

Views

If the restrictions of an element of $\operatorname{Spec}R$ to a cover of $\operatorname{Spec}R$ is zero, then the element is zero

Published on 28 Mar 2026 - 5:23

score 50 · Answer 15 · 2016-10-27 04:14:13

50

Views

What is the usual relationship between $L(x)$ and $I(C_x)\ ?$

Published on 27 Oct 2016 - 4:14

List Question

Prove that $A,B$ ideals in $R==(P(X),\Delta , \cap)$.

How to show that the union of two closed sets in Spec(R) is closed?

Why is the arbitrary sum, but not the arbitrary intersection, of ideals an ideal?

Exists $f \in k\{X\}$ such that $I = \{g \cdot f \mid g \in k\{X\}\}$?

Sum of two right T-nilpotent right ideals

$f,g\in k[x,y]$ are relatively prime , $p\in k[x]$ and $p\in (f,g)\subseteq k[x,y]$ ; if $f(x_0,y_0)=g(x_0,y_0)=1$ , then $p(x_0)=0$?

Existence of an element in a ring with a given property

Prove for any ideal $J$, $\operatorname{rad} J$ is an ideal of $A$, if $J$ is ideal of $A$.

Are these statements about the localization of a module true?

Minimal prime ideal in a ring of functions

How to calculate this Zariski cotangent space explicitly?

Properties of radical ideals

Clarifying the proof of Theorem 5 in Pratulananda Das's "Some further results on ideal convergence in topological spaces"

If the restrictions of an element of $\operatorname{Spec}R$ to a cover of $\operatorname{Spec}R$ is zero, then the element is zero

What is the usual relationship between $L(x)$ and $I(C_x)\ ?$

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