Question

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

score 74 · Answer 1 · 2026-04-12 18:54:53

74

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

Published on 12 Apr 2026 - 18:54

score 785 · Answer 2 · 2026-05-10 15:30:18

785

Views

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

Published on 10 May 2026 - 15:30

score 570 · Answer 3 · 2026-04-16 07:04:03

570

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 16 Apr 2026 - 7:04

score 513 · Answer 4 · 2026-05-10 16:05:12

513

Views

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

Published on 10 May 2026 - 16:05

score 550 · Answer 5 · 2026-05-10 16:32:39

550

Views

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

Published on 10 May 2026 - 16:32

score 646 · Answer 6 · 2026-04-18 09:44:46

646

Views

Hilbert's basis theorem original formulation.

Published on 18 Apr 2026 - 9:44

score 469 · Answer 7 · 2026-05-10 17:32:08

469

Views

Why noetherian rings

Published on 10 May 2026 - 17:32

score 334 · Answer 8 · 2026-04-14 15:19:01

334

Views

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

Published on 14 Apr 2026 - 15:19

score 352 · Answer 9 · 2026-04-13 22:05:42

352

Views

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

Published on 13 Apr 2026 - 22:05

score 66 · Answer 10 · 2026-05-04 13:46:01

66

Views

commutative Noetherian ring whose every maximal ideal is projective

Published on 04 May 2026 - 13:46

score 278 · Answer 11 · 2026-04-13 09:51:37

278

Views

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

Published on 13 Apr 2026 - 9:51

score 134 · Answer 12 · 2026-04-10 20:50:47

134

Views

Confusion over finite generation and noetherian modules

Published on 10 Apr 2026 - 20:50

score 64 · Answer 13 · 2026-05-10 13:46:57

64

Views

Is this ring Noetherian? Artinian?

Published on 10 May 2026 - 13:46

score 624 · Answer 14 · 2026-04-13 00:18:06

624

Views

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

Published on 13 Apr 2026 - 0:18

score 141 · Answer 15 · 2026-04-13 23:18:53

141

Views

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

Published on 13 Apr 2026 - 23:18

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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