Question

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

score 49 · Answer 1 · 2026-05-10 13:50:02

49

Views

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

Published on 10 May 2026 - 13:50

score 170 · Answer 2 · 2026-04-14 15:31:39

170

Views

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

Published on 14 Apr 2026 - 15:31

score 73 · Answer 3 · 2026-04-12 04:15:30

73

Views

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

Published on 12 Apr 2026 - 4:15

score 233 · Answer 4 · 2026-04-16 21:15:22

233

Views

Showing that the augmentation ideal is principal

Published on 16 Apr 2026 - 21:15

score 489 · Answer 5 · 2026-05-10 14:26:58

489

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 10 May 2026 - 14:26

score 517 · Answer 6 · 2026-05-10 17:07:54

517

Views

How to compute quotient rings?

Published on 10 May 2026 - 17:07

score 147 · Answer 7 · 2026-05-10 15:03:28

147

Views

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

Published on 10 May 2026 - 15:03

score 60 · Answer 8 · 2026-04-15 01:12:50

60

Views

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

Published on 15 Apr 2026 - 1:12

score 83 · Answer 9 · 2026-05-10 17:16:58

83

Views

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

Published on 10 May 2026 - 17:16

score 286 · Answer 10 · 2026-04-11 12:44:34

286

Views

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

Published on 11 Apr 2026 - 12:44

score 58 · Answer 11 · 2026-04-10 19:49:16

58

Views

Determining irreducible elements and finding ideals

Published on 10 Apr 2026 - 19:49

score 170 · Answer 12 · 2026-04-11 18:29:28

170

Views

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

Published on 11 Apr 2026 - 18:29

score 80 · Answer 13 · 2026-05-10 14:25:42

80

Views

Sum of two minimal direct summands

Published on 10 May 2026 - 14:25

score 319 · Answer 14 · 2026-05-10 12:33:20

319

Views

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

Published on 10 May 2026 - 12:33

score 137 · Answer 15 · 2026-04-14 03:43:16

137

Views

Example of ring that contains an infinite chain of principal ideal

Published on 14 Apr 2026 - 3:43

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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