Question

Do finitely generated torsion modules have a composition series?

score 288 · Answer 1 · 2026-03-17 19:14:10

288

Views

Do finitely generated torsion modules have a composition series?

Published on 17 Mar 2026 - 19:14

score 783 · Answer 2 · 2026-03-16 22:06:14

783

Views

Homomorphic image of ring

Published on 16 Mar 2026 - 22:06

score 99 · Answer 3 · 2018-01-16 07:02:46

99

Views

If $t \in R$ generates a prime ideal in $R$ then $R$ is normal Iff $R_t$ is normal and $R_{(t)}$ is DVR.

Published on 16 Jan 2018 - 7:02

score 38 · Answer 4 · 2018-01-16 15:19:52

38

Views

Any connection between $\operatorname{Ass}_A(M)$ and $\operatorname{Ass}_{A/α}(A/α\otimes_AM)$?

Published on 16 Jan 2018 - 15:19

score 28 · Answer 5 · 2026-03-17 12:49:15

28

Views

cyclic quotient $\rightarrow$ simple quotient

Published on 17 Mar 2026 - 12:49

score 941 · Answer 6 · 2018-01-16 17:32:49

941

Views

$\text{Spec}~\mathbb C[x,y]/(xy)$ is connected in Zariski topology

Published on 16 Jan 2018 - 17:32

score 40 · Answer 7 · 2018-01-16 18:42:46

40

Views

Must a subgroup neighborhood of 0 in an abelian topological group be open?

Published on 16 Jan 2018 - 18:42

score 72 · Answer 8 · 2026-03-17 07:15:52

72

Views

$\overline{A}\simeq\overline{k}^n $ implies $A\simeq K_1\times\cdots\times K_r$

Published on 17 Mar 2026 - 7:15

score 1.5k · Answer 9 · 2026-03-19 20:24:25

1.5k

Views

Prove that the field $k(x)$ of rational functions over $k$ in the variable $x$ is not a finitely generated $k$-algebra.

Published on 19 Mar 2026 - 20:24

score 110 · Answer 10 · 2026-03-19 22:32:19

110

Views

Noetherian property is redundant?

Published on 19 Mar 2026 - 22:32

score 680 · Answer 11 · 2026-03-17 18:17:41

680

Views

In commutative ring, flat is equivalent to locally free

Published on 17 Mar 2026 - 18:17

score 364 · Answer 12 · 2026-03-22 14:29:22

364

Views

Ring of integral elements of a commutative ring.

Published on 22 Mar 2026 - 14:29

score 144 · Answer 13 · 2026-03-20 01:53:17

144

Views

Prove statement about localization of modules

Published on 20 Mar 2026 - 1:53

score 178 · Answer 14 · 2026-03-20 10:16:30

178

Views

Ascending chain of proper submodules in a module all whose proper submodules are Noetherian

Published on 20 Mar 2026 - 10:16

score 51 · Answer 15 · 2026-03-19 23:00:53

51

Views

Show that $\mathcal{I}(V)$ is the product ideal of $k=\mathbb{F}_2$

Published on 19 Mar 2026 - 23:00

List Question

Do finitely generated torsion modules have a composition series?

Homomorphic image of ring

If $t \in R$ generates a prime ideal in $R$ then $R$ is normal Iff $R_t$ is normal and $R_{(t)}$ is DVR.

Any connection between $\operatorname{Ass}_A(M)$ and $\operatorname{Ass}_{A/α}(A/α\otimes_AM)$?

cyclic quotient $\rightarrow$ simple quotient

$\text{Spec}~\mathbb C[x,y]/(xy)$ is connected in Zariski topology

Must a subgroup neighborhood of 0 in an abelian topological group be open?

$\overline{A}\simeq\overline{k}^n $ implies $A\simeq K_1\times\cdots\times K_r$

Prove that the field $k(x)$ of rational functions over $k$ in the variable $x$ is not a finitely generated $k$-algebra.

Noetherian property is redundant?

In commutative ring, flat is equivalent to locally free

Ring of integral elements of a commutative ring.

Prove statement about localization of modules

Ascending chain of proper submodules in a module all whose proper submodules are Noetherian

Show that $\mathcal{I}(V)$ is the product ideal of $k=\mathbb{F}_2$

Trending Questions

Popular # Hahtags

Popular Questions