Question

Is the ideal $J:=\langle -y^2+xz,x^5-z^3 \rangle$ prime in $\Bbb{C}[x,y,z]?$

score 1.1k · Answer 1 · 2026-03-25 10:19:59

1.1k

Views

Is the ideal $J:=\langle -y^2+xz,x^5-z^3 \rangle$ prime in $\Bbb{C}[x,y,z]?$

Published on 25 Mar 2026 - 10:19

score 181 · Answer 2 · 2018-07-02 11:36:47

181

Views

Let $A$ be a ring and $P \subsetneq R \subsetneq Q$ be prime ideals of $A[x]$. The following is not true: $P \cap A= Q \cap A =R \cap A$.

Published on 02 Jul 2018 - 11:36

score 323 · Answer 3 · 2026-03-25 06:03:31

323

Views

Ring with finitely many maximal ideals whose localizations are Noetherian injects into $\bigoplus_{\mathfrak{m}}R_{\mathfrak{m}}$

Published on 25 Mar 2026 - 6:03

score 95 · Answer 4 · 2026-03-25 03:01:44

95

Views

Which max ideal/kernel of this homomorphism does this correspond to

Published on 25 Mar 2026 - 3:01

score 47 · Answer 5 · 2018-07-03 21:57:27

47

Views

Ideals in Commutative Rings Containing a Field

Published on 03 Jul 2018 - 21:57

score 133 · Answer 6 · 2026-03-25 15:40:52

133

Views

$c_{00}$ is not contained in maximal ideal

Published on 25 Mar 2026 - 15:40

score 1.3k · Answer 7 · 2018-07-09 19:32:14

1.3k

Views

Let $R$ be a commutative ring with $1\neq 0$. Prove that if every proper ideal of $R$ is prime, then $R$ is a field.

Published on 09 Jul 2018 - 19:32

score 401 · Answer 8 · 2018-07-11 09:52:58

401

Views

Krull dimension of $\mathbb{R}[x_1, \ldots, x_n]/(F)$?

Published on 11 Jul 2018 - 9:52

score 43 · Answer 9 · 2018-07-13 19:25:35

43

Views

Usual argument in algebra?

Published on 13 Jul 2018 - 19:25

score 707 · Answer 10 · 2026-03-25 03:04:08

707

Views

$(x)$ prime ideal in $R[x]$ iff $R$ integral domain by contrapositive

Published on 25 Mar 2026 - 3:04

score 776 · Answer 11 · 2026-03-25 03:07:41

776

Views

Irreducible affine algebraic varieties corresponds to prime ideals

Published on 25 Mar 2026 - 3:07

score 2.2k · Answer 12 · 2018-08-09 03:21:53

2.2k

Views

In the proof that an algebraic set $V$ is irreducible iff $I(V)$ is prime.

Published on 09 Aug 2018 - 3:21

score 291 · Answer 13 · 2018-08-09 16:22:37

291

Views

Ideal is maximal iff the zero ideal is maximal in the quotient ring

Published on 09 Aug 2018 - 16:22

score 312 · Answer 14 · 2026-03-25 06:05:34

312

Views

Show that every nonzero prime ideal in $\mathbb{C}[x, y]/(x^2 - y^2 - 1)$ is maximal

Published on 25 Mar 2026 - 6:05

score 45 · Answer 15 · 2026-03-25 09:27:32

45

Views

How to evaluate $f(x)$ at the point $(x^2 + ax + b) \in \text{Spec} \, \mathbb{R}[x] $?

Published on 25 Mar 2026 - 9:27

List Question

Is the ideal $J:=\langle -y^2+xz,x^5-z^3 \rangle$ prime in $\Bbb{C}[x,y,z]?$

Let $A$ be a ring and $P \subsetneq R \subsetneq Q$ be prime ideals of $A[x]$. The following is not true: $P \cap A= Q \cap A =R \cap A$.

Ring with finitely many maximal ideals whose localizations are Noetherian injects into $\bigoplus_{\mathfrak{m}}R_{\mathfrak{m}}$

Which max ideal/kernel of this homomorphism does this correspond to

Ideals in Commutative Rings Containing a Field

$c_{00}$ is not contained in maximal ideal

Let $R$ be a commutative ring with $1\neq 0$. Prove that if every proper ideal of $R$ is prime, then $R$ is a field.

Krull dimension of $\mathbb{R}[x_1, \ldots, x_n]/(F)$?

Usual argument in algebra?

$(x)$ prime ideal in $R[x]$ iff $R$ integral domain by contrapositive

Irreducible affine algebraic varieties corresponds to prime ideals

In the proof that an algebraic set $V$ is irreducible iff $I(V)$ is prime.

Ideal is maximal iff the zero ideal is maximal in the quotient ring

Show that every nonzero prime ideal in $\mathbb{C}[x, y]/(x^2 - y^2 - 1)$ is maximal

How to evaluate $f(x)$ at the point $(x^2 + ax + b) \in \text{Spec} \, \mathbb{R}[x] $?

Trending Questions

Popular # Hahtags

Popular Questions