Question

Let $D$ be one domain and $M$ and $N$ are different maximal ideals. Show that $M + N = D$.

score 21 · Answer 1 · 2026-04-17 11:02:42

21

Views

Let $D$ be one domain and $M$ and $N$ are different maximal ideals. Show that $M + N = D$.

Published on 17 Apr 2026 - 11:02

score 40 · Answer 2 · 2026-04-14 17:33:33

40

Views

Given prime ideals $\mathfrak p_A,\mathfrak p_B$ of commutative rings $A,B$ respectively, to determine $ht(\mathfrak p_A \times \mathfrak p_B)$

Published on 14 Apr 2026 - 17:33

score 582 · Answer 3 · 2026-05-10 10:08:55

582

Views

Let $\alpha \in \mathbb Z [\sqrt{-1}]$. Is it true that $\mathbb Z[\alpha]/I$ is finite for any non-zero ideal $I$ of $\mathbb Z[\alpha]$?

Published on 10 May 2026 - 10:08

score 2k · Answer 4 · 2026-04-15 02:15:16

2k

Views

Existence of at least one inert prime

Published on 15 Apr 2026 - 2:15

score 47 · Answer 5 · 2026-05-10 13:48:21

47

Views

Let R be a prime Jacobson ring (with 1)

Published on 10 May 2026 - 13:48

score 56 · Answer 6 · 2026-04-20 12:22:03

56

Views

How do I find a ring with a primary ideal having n elements?

Published on 20 Apr 2026 - 12:22

score 234 · Answer 7 · 2026-05-10 13:45:37

234

Views

left hull-kernel topology

Published on 10 May 2026 - 13:45

score 466 · Answer 8 · 2026-04-13 20:05:37

466

Views

Intersection of powers of prime ideals in the algebraic integers

Published on 13 Apr 2026 - 20:05

score 232 · Answer 9 · 2026-04-12 14:03:18

232

Views

Ultrafilter on a boolean algebra containing $u$ but not $v$

Published on 12 Apr 2026 - 14:03

score 59 · Answer 10 · 2026-04-17 02:49:53

59

Views

Proving which ideals of $K[x,y]$ are primes or maximals.

Published on 17 Apr 2026 - 2:49

score 1k · Answer 11 · 2026-04-11 14:00:01

1k

Views

Prime ideals in ring of continuous functions

Published on 11 Apr 2026 - 14:00

score 448 · Answer 12 · 2026-04-15 06:58:52

448

Views

Ring homomorphism between commutative rings whose kernel has only nilpotent elements

Published on 15 Apr 2026 - 6:58

score 230 · Answer 13 · 2026-04-12 08:42:53

230

Views

Intersection of all positive powers of a prime ideal in integral domain with all ideals of finite height

Published on 12 Apr 2026 - 8:42

score 74 · Answer 14 · 2026-05-10 15:30:32

74

Views

Example of a ring $R$ and a prime $0\neq P\unlhd R$ such that $R_P$ is a field?

Published on 10 May 2026 - 15:30

score 787 · Answer 15 · 2026-04-14 11:06:09

787

Views

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

Published on 14 Apr 2026 - 11:06

List Question

Let $D$ be one domain and $M$ and $N$ are different maximal ideals. Show that $M + N = D$.

Given prime ideals $\mathfrak p_A,\mathfrak p_B$ of commutative rings $A,B$ respectively, to determine $ht(\mathfrak p_A \times \mathfrak p_B)$

Let $\alpha \in \mathbb Z [\sqrt{-1}]$. Is it true that $\mathbb Z[\alpha]/I$ is finite for any non-zero ideal $I$ of $\mathbb Z[\alpha]$?

Existence of at least one inert prime

Let R be a prime Jacobson ring (with 1)

How do I find a ring with a primary ideal having n elements?

left hull-kernel topology

Intersection of powers of prime ideals in the algebraic integers

Ultrafilter on a boolean algebra containing $u$ but not $v$

Proving which ideals of $K[x,y]$ are primes or maximals.

Prime ideals in ring of continuous functions

Ring homomorphism between commutative rings whose kernel has only nilpotent elements

Intersection of all positive powers of a prime ideal in integral domain with all ideals of finite height

Example of a ring $R$ and a prime $0\neq P\unlhd R$ such that $R_P$ is a field?

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

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