List questions from maximal-and-prime-ideals

Published on 02 Nov 2016 - 22:38

1.3k

Views

Prove that the ideal $(x-2)$ is not maximal in the ring $\mathbb{Z}[x]$

Published on 03 Nov 2016 - 3:04

378

Views

Is there a ring whose spectrum is homeomorphic to $\Bbb C$ with the Zariski topology?

Published on 25 Mar 2026 - 18:56

69

Views

In noetherian domains, do we have $x \in P^{n-1} \setminus P^n,xy \in P^n \implies y \in P$?

Published on 26 Mar 2026 - 19:02

866

Views

Prove that $I=\{r \in R: f(r) \in J\}$ is a prime ideal in $R$.

Published on 07 Nov 2016 - 0:04

54

Views

Equivalency of three statements about localization of a ring

Published on 10 Nov 2016 - 19:32

93

Views

Is the ideal $(x^2 + y^2 + z^2 + w^2, ax^2 + by^2 + cz^2 + dw^2)$ prime in $\mathbb{C} [x, y, z, w] $?

Published on 13 Nov 2016 - 15:37

435

Views

Prove that the ideal $(x^3 + x + 1)$ in the polynomial ring $Z/(2)[x]$ over $Z/(2)$ is a prime ideal.

Published on 14 Nov 2016 - 12:35

122

Views

Maximal right ideals

Published on 14 Nov 2016 - 22:33

2k

Views

Prime ideals of the matrix ring

Published on 15 Nov 2016 - 21:27

363

Views

Prime matrix rings

Published on 17 Nov 2016 - 12:11

1.2k

Views

Intersection of Maximal Ideals of a Ring

Published on 18 Nov 2016 - 1:18

102

Views

prime ideal behaves like a submodule?

Published on 18 Nov 2016 - 21:10

63

Views

Showing √I is a Subgroup of Prime Ideal in R

Published on 18 Nov 2016 - 23:22

791

Views

Contraction of extension of prime ideals in an integral ring extension

Published on 23 Feb 2026 - 9:51

List Question

Express $\mathbb{Z}$ as a direct limit of some rings with finite prime ideals

Prove that the ideal $(x-2)$ is not maximal in the ring $\mathbb{Z}[x]$

Is there a ring whose spectrum is homeomorphic to $\Bbb C$ with the Zariski topology?

In noetherian domains, do we have $x \in P^{n-1} \setminus P^n,xy \in P^n \implies y \in P$?

Prove that $I=\{r \in R: f(r) \in J\}$ is a prime ideal in $R$.

Equivalency of three statements about localization of a ring

Is the ideal $(x^2 + y^2 + z^2 + w^2, ax^2 + by^2 + cz^2 + dw^2)$ prime in $\mathbb{C} [x, y, z, w] $?

Prove that the ideal $(x^3 + x + 1)$ in the polynomial ring $Z/(2)[x]$ over $Z/(2)$ is a prime ideal.

Maximal right ideals

Prime ideals of the matrix ring

Prime matrix rings

Intersection of Maximal Ideals of a Ring

prime ideal behaves like a submodule?

Showing √I is a Subgroup of Prime Ideal in R

Contraction of extension of prime ideals in an integral ring extension

Trending Questions

Popular # Hahtags

Popular Questions