List questions from maximal-and-prime-ideals

Published on 05 Jan 2016 - 4:42

2k

Views

Is the Zariski topology the same as the cofinite topology?

Published on 05 Jan 2016 - 16:15

803

Views

prove the inverse image of a maximal ideal is also a maximal ideal

Published on 06 Jan 2016 - 4:44

918

Views

If $\phi:A\to B$ is a ring homomorphism, why does there exist $\psi:\text{spec}(A)\to \text{spec}(B)$?

Published on 12 Jan 2016 - 13:52

49

Views

Proving $R/J$ is local, where $R=k[\Gamma]$ and $J=(x^1)\unlhd R$.

Published on 13 Jan 2016 - 20:14

977

Views

Zariski topology on $\mathbb{C}[X, Y]$

Published on 14 Jan 2016 - 10:20

621

Views

A relation between max-spectrum and spectrum of a ring

Published on 16 Jan 2016 - 18:05

1.1k

Views

Ring of germs of smooth functions on $\mathbb{R}^{n}$ in $0$.

Published on 03 Apr 2026 - 7:58

60

Views

Ideal $K$ in ring of germs is generated by nonnegative functions

Published on 19 Jan 2016 - 19:35

165

Views

A doubt in problem 21 vii in Atiyah-Macdonald

Published on 20 Jan 2016 - 8:20

111

Views

Is every polynomial with integer coefficients prime in $\mathbb{Z}[x]$ also prime in $\mathbb{Q}[x]$?

Published on 01 Apr 2026 - 14:22

240

Views

Prime $\mathfrak{p} \in$ Max$(\mathbb{Z}[\sqrt{10}])$ splits completely iff principal

Published on 22 Jan 2016 - 10:05

247

Views

Showing there is a prime in a ring extension using Nakayama's lemma

Published on 23 Jan 2016 - 18:14

7.3k

Views

Find all prime ideals and maximal ideals of $\mathbb{Z}/12\mathbb{Z}$

Published on 25 Jan 2016 - 0:59

514

Views

Find a nontrivial proper ideal of $\mathbb{Z}\times\mathbb{Z}$ that is not prime

Published on 25 Jan 2016 - 21:45

List Question

How do we prove the "lying over" property for integral extensions?

Is the Zariski topology the same as the cofinite topology?

prove the inverse image of a maximal ideal is also a maximal ideal

If $\phi:A\to B$ is a ring homomorphism, why does there exist $\psi:\text{spec}(A)\to \text{spec}(B)$?

Proving $R/J$ is local, where $R=k[\Gamma]$ and $J=(x^1)\unlhd R$.

Zariski topology on $\mathbb{C}[X, Y]$

A relation between max-spectrum and spectrum of a ring

Ring of germs of smooth functions on $\mathbb{R}^{n}$ in $0$.

Ideal $K$ in ring of germs is generated by nonnegative functions

A doubt in problem 21 vii in Atiyah-Macdonald

Is every polynomial with integer coefficients prime in $\mathbb{Z}[x]$ also prime in $\mathbb{Q}[x]$?

Prime $\mathfrak{p} \in$ Max$(\mathbb{Z}[\sqrt{10}])$ splits completely iff principal

Showing there is a prime in a ring extension using Nakayama's lemma

Find all prime ideals and maximal ideals of $\mathbb{Z}/12\mathbb{Z}$

Find a nontrivial proper ideal of $\mathbb{Z}\times\mathbb{Z}$ that is not prime

Trending Questions

Popular # Hahtags

Popular Questions