Question

Need help showing that the only submodules of $M$ are the ones in an ascending chain.

score 143 · Answer 1 · 2023-12-22 19:49:03

143

Views

Need help showing that the only submodules of $M$ are the ones in an ascending chain.

Published on 22 Dec 2023 - 19:49

score 93 · Answer 2 · 2023-12-24 17:44:11

93

Views

Length of maximal ideal in noetherian ring

Published on 24 Dec 2023 - 17:44

score 68 · Answer 3 · 2023-12-25 22:32:09

68

Views

Are module finite algebras over Noetherian semiperfect rings again semiperfect?

Published on 25 Dec 2023 - 22:32

score 63 · Answer 4 · 2024-01-04 09:02:03

63

Views

Ascending chain conditions between two rings

Published on 04 Jan 2024 - 9:02

score 114 · Answer 5 · 2026-03-25 14:27:01

114

Views

Proving that if $J=\bigcap_{n\geq0}I^n$ then $IJ = J$

Published on 25 Mar 2026 - 14:27

score 50 · Answer 6 · 2026-03-25 20:42:10

50

Views

Is each component of a graded module over a $k$-algebra a finite-dimensional vector space?

Published on 25 Mar 2026 - 20:42

score 36 · Answer 7 · 2024-01-22 03:42:40

36

Views

Chain of kernels of maps induced from picking a basis of modules

Published on 22 Jan 2024 - 3:42

score 45 · Answer 8 · 2024-01-23 17:15:23

45

Views

Show quotient of ideals is Noetherian

Published on 23 Jan 2024 - 17:15

score 64 · Answer 9 · 2026-03-25 21:49:01

64

Views

Algebraic properties of the ring of analytic functions on the complex plane

Published on 25 Mar 2026 - 21:49

score 53 · Answer 10 · 2026-03-26 22:53:47

53

Views

ID's, PID's, Noetherian rings and valuation rings: implications amongst them

Published on 26 Mar 2026 - 22:53

score 119 · Answer 11 · 2026-03-26 01:11:05

119

Views

Small generating set for the unique minimal prime ideal of a finitely generated $\mathbb{C}$-algebra

Published on 26 Mar 2026 - 1:11

score 106 · Answer 12 · 2024-02-06 01:37:31

106

Views

Let $R$ be a Noetherian commutative ring with zero nilradical and with any localization at a maximal ideal as a finite ring. Prove that $R$ is finite

Published on 06 Feb 2024 - 1:37

score 57 · Answer 13 · 2024-02-22 18:47:44

57

Views

The ring of Laurent polynomials over a Noetherian ring is Noetherian

Published on 22 Feb 2024 - 18:47

score 115 · Answer 14 · 2024-02-24 15:37:28

115

Views

Is the ring $\mathbb{R} [x]$ Noetherian?

Published on 24 Feb 2024 - 15:37

score 80 · Answer 15 · 2024-02-26 21:41:47

80

Views

Is The sub ring $\mathbb{C}\{z\}$ Noetherian?

Published on 26 Feb 2024 - 21:41

List Question

Need help showing that the only submodules of $M$ are the ones in an ascending chain.

Length of maximal ideal in noetherian ring

Are module finite algebras over Noetherian semiperfect rings again semiperfect?

Ascending chain conditions between two rings

Proving that if $J=\bigcap_{n\geq0}I^n$ then $IJ = J$

Is each component of a graded module over a $k$-algebra a finite-dimensional vector space?

Chain of kernels of maps induced from picking a basis of modules

Show quotient of ideals is Noetherian

Algebraic properties of the ring of analytic functions on the complex plane

ID's, PID's, Noetherian rings and valuation rings: implications amongst them

Small generating set for the unique minimal prime ideal of a finitely generated $\mathbb{C}$-algebra

Let $R$ be a Noetherian commutative ring with zero nilradical and with any localization at a maximal ideal as a finite ring. Prove that $R$ is finite

The ring of Laurent polynomials over a Noetherian ring is Noetherian

Is the ring $\mathbb{R} [x]$ Noetherian?

Is The sub ring $\mathbb{C}\{z\}$ Noetherian?

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