Question

Is $f_B:X_B\to \operatorname{Spec}B$ separated?

score 71 · Answer 1 · 2018-08-21 00:11:58

71

Views

Is $f_B:X_B\to \operatorname{Spec}B$ separated?

Published on 21 Aug 2018 - 0:11

score 781 · Answer 2 · 2018-08-21 02:58:16

781

Views

Show that the ring of polynomials with coefficients in a field, and in infinitely many variables, is not Noetherian

Published on 21 Aug 2018 - 2:58

score 567 · Answer 3 · 2018-09-02 00:58:24

567

Views

If $S$ is a Noetherian ring and $R\subset S$ is a sub-ring, prove that $R$ is Noetherian or a counterexample

Published on 02 Sep 2018 - 0:58

score 511 · Answer 4 · 2018-09-22 17:43:10

511

Views

"categorical" proof of a seemingly symmetric statement about Noetherian/Artinian modules

Published on 22 Sep 2018 - 17:43

score 546 · Answer 5 · 2018-09-26 14:49:14

546

Views

Example of a non-zero module that has no associated primes

Published on 26 Sep 2018 - 14:49

score 643 · Answer 6 · 2018-09-27 23:56:02

643

Views

Hilbert's basis theorem original formulation.

Published on 27 Sep 2018 - 23:56

score 465 · Answer 7 · 2018-10-05 11:29:38

465

Views

Why noetherian rings

Published on 05 Oct 2018 - 11:29

score 331 · Answer 8 · 2018-10-08 14:12:42

331

Views

There are finitely many minimal prime ideals in every $B\subseteq \operatorname{Spec} A $ for $A $ noetherian?

Published on 08 Oct 2018 - 14:12

score 349 · Answer 9 · 2018-10-18 20:40:36

349

Views

$A$ Noetherian and $f:A \rightarrow A$ suryective then $f$ inyective

Published on 18 Oct 2018 - 20:40

score 62 · Answer 10 · 2018-10-18 22:17:33

62

Views

commutative Noetherian ring whose every maximal ideal is projective

Published on 18 Oct 2018 - 22:17

score 275 · Answer 11 · 2018-10-25 13:04:09

275

Views

Is there a non-artinian noetherian ring whose non-units are zero-divisors?

Published on 25 Oct 2018 - 13:04

score 131 · Answer 12 · 2018-10-27 13:42:01

131

Views

Confusion over finite generation and noetherian modules

Published on 27 Oct 2018 - 13:42

score 62 · Answer 13 · 2026-03-22 09:30:46

62

Views

Is this ring Noetherian? Artinian?

Published on 22 Mar 2026 - 9:30

score 621 · Answer 14 · 2018-11-01 01:21:52

621

Views

Every subset of ideals of $R$ has maximal element $\implies$ Every ideal of $R$ is finitely generated, if $R$ is Noetherian.

Published on 01 Nov 2018 - 1:21

score 138 · Answer 15 · 2018-11-02 18:07:19

138

Views

Two definitions of an associated prime of an $R$-module

Published on 02 Nov 2018 - 18:07

List Question

Is $f_B:X_B\to \operatorname{Spec}B$ separated?

Show that the ring of polynomials with coefficients in a field, and in infinitely many variables, is not Noetherian

If $S$ is a Noetherian ring and $R\subset S$ is a sub-ring, prove that $R$ is Noetherian or a counterexample

"categorical" proof of a seemingly symmetric statement about Noetherian/Artinian modules

Example of a non-zero module that has no associated primes

Hilbert's basis theorem original formulation.

Why noetherian rings

There are finitely many minimal prime ideals in every $B\subseteq \operatorname{Spec} A $ for $A $ noetherian?

$A$ Noetherian and $f:A \rightarrow A$ suryective then $f$ inyective

commutative Noetherian ring whose every maximal ideal is projective

Is there a non-artinian noetherian ring whose non-units are zero-divisors?

Confusion over finite generation and noetherian modules

Is this ring Noetherian? Artinian?

Every subset of ideals of $R$ has maximal element $\implies$ Every ideal of $R$ is finitely generated, if $R$ is Noetherian.

Two definitions of an associated prime of an $R$-module

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