Question

If $A$ is a semilocal ring and $f : A \twoheadrightarrow B$, then $f(\text{rad}(A)) = \text{rad}(B)$?

score 82 · Answer 1 · 2017-09-21 01:47:06

82

Views

If $A$ is a semilocal ring and $f : A \twoheadrightarrow B$, then $f(\text{rad}(A)) = \text{rad}(B)$?

Published on 21 Sep 2017 - 1:47

score 191 · Answer 2 · 2017-09-21 19:19:58

191

Views

If every maximal ideal of $R$ is finitely generated then is every maximal ideal of $R[x]$ also finitely generated ?

Published on 21 Sep 2017 - 19:19

score 2.8k · Answer 3 · 2026-03-30 22:09:03

2.8k

Views

Showing that the fiber of a morphism of schemes over a point is homeomorphic to the preimage

Published on 30 Mar 2026 - 22:09

score 112 · Answer 4 · 2026-03-27 14:21:30

112

Views

On finite generation of extended submodules in formal power series module

Published on 27 Mar 2026 - 14:21

score 525 · Answer 5 · 2026-03-28 11:54:17

525

Views

Trying to prove that $\langle y-x^2, z-x^3\rangle$ is prime in $K[x,y,z]$

Published on 28 Mar 2026 - 11:54

score 1.1k · Answer 6 · 2017-09-25 10:15:15

1.1k

Views

What does it mean for a prime ideal to lie over another ideal in the case of a morphism of rings?

Published on 25 Sep 2017 - 10:15

score 760 · Answer 7 · 2017-09-25 15:36:11

760

Views

Series of questions on ring theory

Published on 25 Sep 2017 - 15:36

score 143 · Answer 8 · 2026-02-23 13:05:02

143

Views

Where does this proof of finite morphisms of schemes being quasi-finite fail?

Published on 23 Feb 2026 - 13:05

score 211 · Answer 9 · 2026-03-27 04:38:47

211

Views

Proof of Gelfand Kolmogorov theorem about the Stone-Cech compactification

Published on 27 Mar 2026 - 4:38

score 9.7k · Answer 10 · 2026-03-28 15:20:24

9.7k

Views

$P$ is a prime ideal of $R$ iff $R/P$ is an integral domain. : $P≠R$

Published on 28 Mar 2026 - 15:20

score 324 · Answer 11 · 2017-10-02 18:00:36

324

Views

Showing $f^{-1}(\mathfrak{p})$ is a prime ideal

Published on 02 Oct 2017 - 18:00

score 223 · Answer 12 · 2017-10-07 04:35:26

223

Views

A question on generic point and induced map between spectrum

Published on 07 Oct 2017 - 4:35

score 530 · Answer 13 · 2017-10-07 05:21:38

530

Views

Show that $I$ is a maximal ideal of $\Bbb Z[x]$.

Published on 07 Oct 2017 - 5:21

score 406 · Answer 14 · 2017-10-08 20:36:39

406

Views

A question about the infinite intersection of prime ideals

Published on 08 Oct 2017 - 20:36

score 698 · Answer 15 · 2017-10-09 09:13:48

698

Views

Is there a ring whose spectrum is homeomorphic to $\Bbb Z_p$?

Published on 09 Oct 2017 - 9:13

List Question

If $A$ is a semilocal ring and $f : A \twoheadrightarrow B$, then $f(\text{rad}(A)) = \text{rad}(B)$?

If every maximal ideal of $R$ is finitely generated then is every maximal ideal of $R[x]$ also finitely generated ?

Showing that the fiber of a morphism of schemes over a point is homeomorphic to the preimage

On finite generation of extended submodules in formal power series module

Trying to prove that $\langle y-x^2, z-x^3\rangle$ is prime in $K[x,y,z]$

What does it mean for a prime ideal to lie over another ideal in the case of a morphism of rings?

Series of questions on ring theory

Where does this proof of finite morphisms of schemes being quasi-finite fail?

Proof of Gelfand Kolmogorov theorem about the Stone-Cech compactification

$P$ is a prime ideal of $R$ iff $R/P$ is an integral domain. : $P≠R$

Showing $f^{-1}(\mathfrak{p})$ is a prime ideal

A question on generic point and induced map between spectrum

Show that $I$ is a maximal ideal of $\Bbb Z[x]$.

A question about the infinite intersection of prime ideals

Is there a ring whose spectrum is homeomorphic to $\Bbb Z_p$?

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