Question

Find the rings such that $I^s=\{0\}$ for any maximal ideal $I$ where $s$ is the characteristic.

score 118 · Answer 1 · 2026-03-29 18:51:05

118

Views

Find the rings such that $I^s=\{0\}$ for any maximal ideal $I$ where $s$ is the characteristic.

Published on 29 Mar 2026 - 18:51

score 73 · Answer 2 · 2019-08-01 22:58:27

73

Views

Prove that if $I$ is a proper ideal of $\mathbb{C}[X]$, then there exists $r \in \mathbb{C}$ with $\phi_r(I) \neq \mathbb{C}$

Published on 01 Aug 2019 - 22:58

score 226 · Answer 3 · 2026-03-29 18:51:06

226

Views

$x+ I \subset p_1 \cup \cdots \cup p_n$ then for some $i$, $x + I \subset p_i.$

Published on 29 Mar 2026 - 18:51

score 73 · Answer 4 · 2026-03-25 13:55:24

73

Views

The existence of a specific maximal ideal in a UFD

Published on 25 Mar 2026 - 13:55

score 69 · Answer 5 · 2019-08-05 12:12:38

69

Views

Finite ring ideal

Published on 05 Aug 2019 - 12:12

score 48 · Answer 6 · 2019-08-06 08:47:24

48

Views

Prove that $ I_{R} (A) $ is the "biggest" subring in $R$ in which $A$ is ideal.

Published on 06 Aug 2019 - 8:47

score 74 · Answer 7 · 2019-08-06 09:57:41

74

Views

Prove that in ring $\mathbb{Z}, \forall a,b \in \mathbb{Z} $, $(a,b) = (d)$, where $ d = \mathrm{gcd}(a,b)$

Published on 06 Aug 2019 - 9:57

score 59 · Answer 8 · 2026-03-17 22:59:23

59

Views

Invertibility modulo the intersection of ideals in $C^*$-algebras

Published on 17 Mar 2026 - 22:59

score 514 · Answer 9 · 2019-08-07 12:51:36

514

Views

Definition of quotient of sigma algebras

Published on 07 Aug 2019 - 12:51

score 143 · Answer 10 · 2026-03-25 22:09:41

143

Views

Geometrically interpreting quotient rings

Published on 25 Mar 2026 - 22:09

score 1.6k · Answer 11 · 2026-03-29 18:50:24

1.6k

Views

Every prime ideal in $\mathbb{Z}[x]$ is generated by at most two elements

Published on 29 Mar 2026 - 18:50

score 217 · Answer 12 · 2026-03-27 10:10:43

217

Views

Romyar Sharifi's notes: Group and Galois Cohomology; ideal vs submodule?

Published on 27 Mar 2026 - 10:10

score 769 · Answer 13 · 2019-08-13 07:32:00

769

Views

Example of prime ideals in $\mathbb{R}[x]$

Published on 13 Aug 2019 - 7:32

score 301 · Answer 14 · 2019-08-14 00:57:29

301

Views

Square of an ideal, tensor and quotient

Published on 14 Aug 2019 - 0:57

score 324 · Answer 15 · 2019-08-15 10:30:35

324

Views

Intersection of ideals $(x,y),(y,z)$ and $(x,z)$ in $K[x,y,z]$

Published on 15 Aug 2019 - 10:30

List Question

Find the rings such that $I^s=\{0\}$ for any maximal ideal $I$ where $s$ is the characteristic.

Prove that if $I$ is a proper ideal of $\mathbb{C}[X]$, then there exists $r \in \mathbb{C}$ with $\phi_r(I) \neq \mathbb{C}$

$x+ I \subset p_1 \cup \cdots \cup p_n$ then for some $i$, $x + I \subset p_i.$

The existence of a specific maximal ideal in a UFD

Finite ring ideal

Prove that $ I_{R} (A) $ is the "biggest" subring in $R$ in which $A$ is ideal.

Prove that in ring $\mathbb{Z}, \forall a,b \in \mathbb{Z} $, $(a,b) = (d)$, where $ d = \mathrm{gcd}(a,b)$

Invertibility modulo the intersection of ideals in $C^*$-algebras

Definition of quotient of sigma algebras

Geometrically interpreting quotient rings

Every prime ideal in $\mathbb{Z}[x]$ is generated by at most two elements

Romyar Sharifi's notes: Group and Galois Cohomology; ideal vs submodule?

Example of prime ideals in $\mathbb{R}[x]$

Square of an ideal, tensor and quotient

Intersection of ideals $(x,y),(y,z)$ and $(x,z)$ in $K[x,y,z]$

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