Question

Question about a group algebra being not Artinian

score 70 · Answer 1 · 2019-02-17 23:04:31

70

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Question about a group algebra being not Artinian

Published on 17 Feb 2019 - 23:04

score 154 · Answer 2 · 2019-03-05 00:29:22

154

Views

On minimal elements, w.r.t. inclusion, of non-empty subset of prime ideals of commutative rings

Published on 05 Mar 2019 - 0:29

score 134 · Answer 3 · 2019-03-05 20:56:50

134

Views

The finite generation of $M$, to conclude $M$ is Noetherian (when $R$ is Noetherian).

Published on 05 Mar 2019 - 20:56

score 228 · Answer 4 · 2019-03-08 01:02:12

228

Views

Consequence of epimorphism from Noetherian $R$-module

Published on 08 Mar 2019 - 1:02

score 1k · Answer 5 · 2019-03-09 03:14:02

1k

Views

If finite product of maximal ideals of ring $R$ is zero, then $R$ is Noetherian$\iff R$ is Artinian

Published on 09 Mar 2019 - 3:14

score 131 · Answer 6 · 2026-03-24 23:46:21

131

Views

Certain exact functor on the Grothendieck group of a module category

Published on 24 Mar 2026 - 23:46

score 148 · Answer 7 · 2019-04-28 18:55:04

148

Views

Noetherian module does not contain a submodule $N$ which is a direct sum of $n$ simple modules

Published on 28 Apr 2019 - 18:55

score 35 · Answer 8 · 2026-03-25 06:05:26

35

Views

Proving that $\mathbb{F}_p[x_1,\dots,x_n]/(x_1^p,\dots,x_n^p)$ is a complete intersection ring

Published on 25 Mar 2026 - 6:05

score 1.5k · Answer 9 · 2026-03-25 04:41:33

1.5k

Views

Every Artinian ring is isomorphic to a direct product of Artinian local rings

Published on 25 Mar 2026 - 4:41

score 140 · Answer 10 · 2019-06-04 13:32:09

140

Views

Is the fiber product of local artinian rings again local artinian under these conditions?

Published on 04 Jun 2019 - 13:32

score 220 · Answer 11 · 2019-07-13 14:23:25

220

Views

If $V/F$ has basis $\{x_1,x_2,x_3,\dotsc\}$, $T'\colon V \to V$ is the right-shift operator, $W\subset V$ is $T'$-invariant, then $\dim V/W < \infty$?

Published on 13 Jul 2019 - 14:23

score 79 · Answer 12 · 2019-08-15 18:41:35

79

Views

Characterisation of Largest Semisimple Left Ideal

Published on 15 Aug 2019 - 18:41

score 112 · Answer 13 · 2026-02-23 02:13:50

112

Views

socle and essential extension of finitely generated mod over an artin algebra

Published on 23 Feb 2026 - 2:13

score 955 · Answer 14 · 2019-11-18 15:51:10

955

Views

Counterexample: Local Artinian ring is not a PID

Published on 18 Nov 2019 - 15:51

score 173 · Answer 15 · 2026-02-23 02:15:30

173

Views

Is the following ring (artinian) semisimple? And are any of these attempts valid?

Published on 23 Feb 2026 - 2:15

List Question

Question about a group algebra being not Artinian

On minimal elements, w.r.t. inclusion, of non-empty subset of prime ideals of commutative rings

The finite generation of $M$, to conclude $M$ is Noetherian (when $R$ is Noetherian).

Consequence of epimorphism from Noetherian $R$-module

If finite product of maximal ideals of ring $R$ is zero, then $R$ is Noetherian$\iff R$ is Artinian

Certain exact functor on the Grothendieck group of a module category

Noetherian module does not contain a submodule $N$ which is a direct sum of $n$ simple modules

Proving that $\mathbb{F}_p[x_1,\dots,x_n]/(x_1^p,\dots,x_n^p)$ is a complete intersection ring

Every Artinian ring is isomorphic to a direct product of Artinian local rings

Is the fiber product of local artinian rings again local artinian under these conditions?

If $V/F$ has basis $\{x_1,x_2,x_3,\dotsc\}$, $T'\colon V \to V$ is the right-shift operator, $W\subset V$ is $T'$-invariant, then $\dim V/W < \infty$?

Characterisation of Largest Semisimple Left Ideal

socle and essential extension of finitely generated mod over an artin algebra

Counterexample: Local Artinian ring is not a PID

Is the following ring (artinian) semisimple? And are any of these attempts valid?

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