Question

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

score 18 · Answer 1 · 2018-06-06 14:58:34

18

Views

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

Published on 06 Jun 2018 - 14:58

score 38 · Answer 2 · 2018-06-06 16:01:22

38

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 06 Jun 2018 - 16:01

score 579 · Answer 3 · 2026-03-25 01:18:51

579

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 25 Mar 2026 - 1:18

score 2k · Answer 4 · 2018-06-11 14:51:15

2k

Views

Existence of at least one inert prime

Published on 11 Jun 2018 - 14:51

score 44 · Answer 5 · 2026-03-25 09:50:43

44

Views

Let R be a prime Jacobson ring (with 1)

Published on 25 Mar 2026 - 9:50

score 52 · Answer 6 · 2026-03-22 16:56:05

52

Views

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

Published on 22 Mar 2026 - 16:56

score 230 · Answer 7 · 2026-03-25 07:40:16

230

Views

left hull-kernel topology

Published on 25 Mar 2026 - 7:40

score 463 · Answer 8 · 2018-06-15 09:03:44

463

Views

Intersection of powers of prime ideals in the algebraic integers

Published on 15 Jun 2018 - 9:03

score 229 · Answer 9 · 2018-06-18 09:45:40

229

Views

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

Published on 18 Jun 2018 - 9:45

score 56 · Answer 10 · 2018-06-19 23:31:22

56

Views

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

Published on 19 Jun 2018 - 23:31

score 1k · Answer 11 · 2018-06-20 16:33:47

1k

Views

Prime ideals in ring of continuous functions

Published on 20 Jun 2018 - 16:33

score 445 · Answer 12 · 2018-06-23 18:15:57

445

Views

Ring homomorphism between commutative rings whose kernel has only nilpotent elements

Published on 23 Jun 2018 - 18:15

score 227 · Answer 13 · 2018-06-24 11:43:24

227

Views

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

Published on 24 Jun 2018 - 11:43

score 70 · Answer 14 · 2018-06-25 22:38:09

70

Views

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

Published on 25 Jun 2018 - 22:38

score 785 · Answer 15 · 2026-03-25 12:50:17

785

Views

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

Published on 25 Mar 2026 - 12:50

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 $\Bbb{C}[x,y,z]$?

Trending Questions

Popular # Hahtags

Popular Questions