Question

Find an infinite collection of maximal ideals containing $(x^2 - y^3) \subset \mathbb{C}[x,y]$

score 118 · Answer 1 · 2026-04-18 02:25:52

118

Views

Find an infinite collection of maximal ideals containing $(x^2 - y^3) \subset \mathbb{C}[x,y]$

Published on 18 Apr 2026 - 2:25

score 133 · Answer 2 · 2026-03-29 00:00:04

133

Views

Minimal primary decomposition of the ideal $I = (XY, Y Z, XZ) ⊆ \mathbb C[X, Y, Z]$

Published on 29 Mar 2026 - 0:00

score 64 · Answer 3 · 2026-04-19 23:59:27

64

Views

Why is $|V(I)| \leq d_1\cdots d_n$?

Published on 19 Apr 2026 - 23:59

score 496 · Answer 4 · 2026-04-12 05:48:30

496

Views

Groebner basis and prime ideals.

Published on 12 Apr 2026 - 5:48

score 464 · Answer 5 · 2026-04-13 05:15:38

464

Views

Is the ideal generated by the polynomial $x^2-2$ maximal in the ring $\mathbb{C}[x]$?

Published on 13 Apr 2026 - 5:15

score 1.2k · Answer 6 · 2026-04-13 22:02:09

1.2k

Views

Show that the ideal generated by $x^2-2$ is maximal

Published on 13 Apr 2026 - 22:02

score 86 · Answer 7 · 2026-03-26 07:52:43

86

Views

Show that the left ideal $(N_G) \subset F[G]$ is a simple submodule of $F[G]$, where $N_G = {\sum}_{g \in G} {g} \in F[G]$.

Published on 26 Mar 2026 - 7:52

score 571 · Answer 8 · 2026-04-15 17:25:31

571

Views

Let A and B be ideals of a ring and C a prime ideal. Prove if the intersection of A and B is a subset of C then either A or B is a subset of C

Published on 15 Apr 2026 - 17:25

score 990 · Answer 9 · 2026-04-12 10:04:35

990

Views

When is an ideal also a ring, and could then be anything said about its relation to the original ring

Published on 12 Apr 2026 - 10:04

score 415 · Answer 10 · 2026-04-14 12:12:13

415

Views

Union Over a Totally Ordered Set of Ideals is an Ideal

Published on 14 Apr 2026 - 12:12

score 73 · Answer 11 · 2026-04-16 00:45:35

73

Views

Is the set of all $f$ such that $\lim_{x\to1^-}f(x) = 0$ an ideal in the ring of functions from $[0,1]\rightarrow \mathbb{R}$?

Published on 16 Apr 2026 - 0:45

score 463 · Answer 12 · 2026-04-15 08:10:02

463

Views

Ideals of $\mathfrak{gl}_n$

Published on 15 Apr 2026 - 8:10

score 2.6k · Answer 13 · 2026-04-14 04:37:46

2.6k

Views

Intersection of two ideals

Published on 14 Apr 2026 - 4:37

score 254 · Answer 14 · 2026-04-13 19:35:42

254

Views

$m_p=\{f\in \mathcal{O}_{V,p}| f(p)=0\}$, ideal of $p$ in the local ring. What is $m_p/m_p^2$?

Published on 13 Apr 2026 - 19:35

score 64 · Answer 15 · 2026-04-14 12:58:09

64

Views

If I is an irreducible ideal, and P is a prime ideal, is (I+P)/P irreducible?

Published on 14 Apr 2026 - 12:58

List Question

Find an infinite collection of maximal ideals containing $(x^2 - y^3) \subset \mathbb{C}[x,y]$

Minimal primary decomposition of the ideal $I = (XY, Y Z, XZ) ⊆ \mathbb C[X, Y, Z]$

Why is $|V(I)| \leq d_1\cdots d_n$?

Groebner basis and prime ideals.

Is the ideal generated by the polynomial $x^2-2$ maximal in the ring $\mathbb{C}[x]$?

Show that the ideal generated by $x^2-2$ is maximal

Show that the left ideal $(N_G) \subset F[G]$ is a simple submodule of $F[G]$, where $N_G = {\sum}_{g \in G} {g} \in F[G]$.

Let A and B be ideals of a ring and C a prime ideal. Prove if the intersection of A and B is a subset of C then either A or B is a subset of C

When is an ideal also a ring, and could then be anything said about its relation to the original ring

Union Over a Totally Ordered Set of Ideals is an Ideal

Is the set of all $f$ such that $\lim_{x\to1^-}f(x) = 0$ an ideal in the ring of functions from $[0,1]\rightarrow \mathbb{R}$?

Ideals of $\mathfrak{gl}_n$

Intersection of two ideals

$m_p=\{f\in \mathcal{O}_{V,p}| f(p)=0\}$, ideal of $p$ in the local ring. What is $m_p/m_p^2$?

If I is an irreducible ideal, and P is a prime ideal, is (I+P)/P irreducible?

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