Question

Is a quotient of $k[x,y]$, where $k$ is a field, a finitly generated module?

score 53 · Answer 1 · 2021-10-24 13:39:02

53

Views

Is a quotient of $k[x,y]$, where $k$ is a field, a finitly generated module?

Published on 24 Oct 2021 - 13:39

score 56 · Answer 2 · 2026-03-28 20:51:22

56

Views

Do ample sheaves descend along limits / noetherian approximation?

Published on 28 Mar 2026 - 20:51

score 177 · Answer 3 · 2026-03-29 18:32:15

177

Views

Existence of System of Parameters

Published on 29 Mar 2026 - 18:32

score 132 · Answer 4 · 2021-11-15 09:56:47

132

Views

Is the ring of lower triangular matrices over a field both right and left Noetherian?

Published on 15 Nov 2021 - 9:56

score 219 · Answer 5 · 2026-03-25 11:00:07

219

Views

Regular Noetherian Local Ring is Integral Domain

Published on 25 Mar 2026 - 11:00

score 48 · Answer 6 · 2021-11-19 08:41:31

48

Views

Exercise with Noetherian modules

Published on 19 Nov 2021 - 8:41

score 158 · Answer 7 · 2021-11-20 20:49:49

158

Views

Is a ring whose every descending chain of prime ideals stabilizes, necessary Noetherian?

Published on 20 Nov 2021 - 20:49

score 491 · Answer 8 · 2021-11-27 13:53:29

491

Views

A ring that is left Noetherian but not right noetherian

Published on 27 Nov 2021 - 13:53

score 45 · Answer 9 · 2021-12-14 11:57:53

45

Views

A less constructive proof of acc + dcc implies the largest chain of modules have finite length

Published on 14 Dec 2021 - 11:57

score 239 · Answer 10 · 2021-12-20 16:10:54

239

Views

Non-finitely generated R-module

Published on 20 Dec 2021 - 16:10

score 95 · Answer 11 · 2021-12-30 02:22:40

95

Views

Can the Noetherian topological spaces be distinguished by looking at the category of topological spaces only?

Published on 30 Dec 2021 - 2:22

score 98 · Answer 12 · 2022-01-05 16:24:21

98

Views

Sufficient conditions for $\operatorname {Spec} f$ to be closed

Published on 05 Jan 2022 - 16:24

score 225 · Answer 13 · 2022-01-09 16:17:58

225

Views

Finding a Noetherian faithful module

Published on 09 Jan 2022 - 16:17

score 83 · Answer 14 · 2022-01-19 07:07:26

83

Views

$\varphi'\in Hom_ R(M, N)$ differs from $\varphi$ by an element of $P Hom_ R( M, N)$, then $\varphi'$ is an epimorphism.

Published on 19 Jan 2022 - 7:07

score 222 · Answer 15 · 2022-01-21 13:25:33

222

Views

Why is the irreducible component of an irreducible set is the set itself?

Published on 21 Jan 2022 - 13:25

List Question

Is a quotient of $k[x,y]$, where $k$ is a field, a finitly generated module?

Do ample sheaves descend along limits / noetherian approximation?

Existence of System of Parameters

Is the ring of lower triangular matrices over a field both right and left Noetherian?

Regular Noetherian Local Ring is Integral Domain

Exercise with Noetherian modules

Is a ring whose every descending chain of prime ideals stabilizes, necessary Noetherian?

A ring that is left Noetherian but not right noetherian

A less constructive proof of acc + dcc implies the largest chain of modules have finite length

Non-finitely generated R-module

Can the Noetherian topological spaces be distinguished by looking at the category of topological spaces only?

Sufficient conditions for $\operatorname {Spec} f$ to be closed

Finding a Noetherian faithful module

$\varphi'\in Hom_ R(M, N)$ differs from $\varphi$ by an element of $P Hom_ R( M, N)$, then $\varphi'$ is an epimorphism.

Why is the irreducible component of an irreducible set is the set itself?

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