Question

Is there an ideal of $(C^0(\mathbb{R}),+,\cdot)$ that isn't prime?

score 46 · Answer 1 · 2026-03-25 17:21:41

46

Views

Is there an ideal of $(C^0(\mathbb{R}),+,\cdot)$ that isn't prime?

Published on 25 Mar 2026 - 17:21

score 168 · Answer 2 · 2026-03-25 18:04:37

168

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Is there a maximal ideal that isn't prime if the ring is non commutative?

Published on 25 Mar 2026 - 18:04

score 70 · Answer 3 · 2018-04-05 09:07:56

70

Views

Non prime ideal $I$ over ring $R$ implies $R/I$ is not an integral domain

Published on 05 Apr 2018 - 9:07

score 228 · Answer 4 · 2018-04-05 17:33:09

228

Views

Showing that the augmentation ideal is principal

Published on 05 Apr 2018 - 17:33

score 486 · Answer 5 · 2026-03-25 03:03:06

486

Views

Apply Lam's theorem to determine all the left ideals of $\begin{pmatrix}\mathbb{Q}&\mathbb{R}\\0&\mathbb{R}\end{pmatrix}$

Published on 25 Mar 2026 - 3:03

score 507 · Answer 6 · 2026-03-21 22:34:32

507

Views

How to compute quotient rings?

Published on 21 Mar 2026 - 22:34

score 144 · Answer 7 · 2026-03-25 18:50:09

144

Views

Definition of Maximal Ideal leading to a maximal ideal being a subset of another ideal

Published on 25 Mar 2026 - 18:50

score 57 · Answer 8 · 2018-04-07 12:51:58

57

Views

Why does this prove that $(1 - \zeta_p)^2 \mid x + y$?

Published on 07 Apr 2018 - 12:51

score 80 · Answer 9 · 2026-03-25 01:18:19

80

Views

Show that the ring homomorphism $\phi:R\to R/I$ defined by $\phi(r)=r+I$ is well-defined.

Published on 25 Mar 2026 - 1:18

score 283 · Answer 10 · 2018-04-08 08:40:48

283

Views

Example for ring $R$ which does not contain unity but satisfies property that $R^2=R$.

Published on 08 Apr 2018 - 8:40

score 55 · Answer 11 · 2018-04-09 08:08:47

55

Views

Determining irreducible elements and finding ideals

Published on 09 Apr 2018 - 8:08

score 167 · Answer 12 · 2018-04-09 12:53:17

167

Views

Continuous map from $\text{Spec}(R/I)$ to $\text{Spec}(R)$ induced by the canonical projection homomorphism

Published on 09 Apr 2018 - 12:53

score 77 · Answer 13 · 2026-03-25 04:39:26

77

Views

Sum of two minimal direct summands

Published on 25 Mar 2026 - 4:39

score 316 · Answer 14 · 2026-03-25 08:07:52

316

Views

In a commutative algebra, every nil ideal is nilpotent, right?

Published on 25 Mar 2026 - 8:07

score 134 · Answer 15 · 2018-04-11 10:04:56

134

Views

Example of ring that contains an infinite chain of principal ideal

Published on 11 Apr 2018 - 10:04

List Question

Is there an ideal of $(C^0(\mathbb{R}),+,\cdot)$ that isn't prime?

Is there a maximal ideal that isn't prime if the ring is non commutative?

Non prime ideal $I$ over ring $R$ implies $R/I$ is not an integral domain

Showing that the augmentation ideal is principal

Apply Lam's theorem to determine all the left ideals of $\begin{pmatrix}\mathbb{Q}&\mathbb{R}\\0&\mathbb{R}\end{pmatrix}$

How to compute quotient rings?

Definition of Maximal Ideal leading to a maximal ideal being a subset of another ideal

Why does this prove that $(1 - \zeta_p)^2 \mid x + y$?

Show that the ring homomorphism $\phi:R\to R/I$ defined by $\phi(r)=r+I$ is well-defined.

Example for ring $R$ which does not contain unity but satisfies property that $R^2=R$.

Determining irreducible elements and finding ideals

Continuous map from $\text{Spec}(R/I)$ to $\text{Spec}(R)$ induced by the canonical projection homomorphism

Sum of two minimal direct summands

In a commutative algebra, every nil ideal is nilpotent, right?

Example of ring that contains an infinite chain of principal ideal

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