Question

When does a finitely generated module over a Noetherian semi-local ring surject onto every simple module?

score 80 · Answer 1 · 2026-04-14 07:12:07

80

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When does a finitely generated module over a Noetherian semi-local ring surject onto every simple module?

Published on 14 Apr 2026 - 7:12

score 40 · Answer 2 · 2026-04-09 22:23:45

40

Views

$\mathbb{Z}_{(p)}$-module structure on a cyclic group

Published on 09 Apr 2026 - 22:23

score 117 · Answer 3 · 2026-04-16 23:16:53

117

Views

Prove/Disprove $ \sum_{i=1}^{p-1} (i!)^2 \not\equiv 0 (\text{mod } p)$.

Published on 16 Apr 2026 - 23:16

score 22 · Answer 4 · 2026-04-15 12:42:28

Support of the submodule of $M_B$ generated by $1\otimes x_i$ can easily be smaller than $Supp(B\otimes_A Ax_i)$ wher $M$ is finitely generated

score 38 · Answer 5 · 2026-04-14 16:03:55

38

Views

Some calculation in $F_5[D_{30}]$.

Published on 14 Apr 2026 - 16:03

score 63 · Answer 6 · 2026-04-13 15:44:49

63

Views

If a module $M$ has DCC on essential submodules, then $\mathrm{soc}(M)$ is an essential submodule of $M$.

Published on 13 Apr 2026 - 15:44

score 63 · Answer 7 · 2026-04-13 18:46:11

63

Views

Showing $J(A)=0$, where $A$ is the path algebra of an oriented cycle

Published on 13 Apr 2026 - 18:46

score 130 · Answer 8 · 2026-04-15 13:19:52

130

Views

an isomorphism of dual module

Published on 15 Apr 2026 - 13:19

score 136 · Answer 9 · 2026-04-12 04:27:31

136

Views

UFD characterization via module theory

Published on 12 Apr 2026 - 4:27

score 32 · Answer 10 · 2026-04-12 13:21:43

32

Views

Are all indecomposable $\mathbb{Z}_+$-modules over the character ring of a group, character rings of a subgroup?

Published on 12 Apr 2026 - 13:21

score 156 · Answer 11 · 2026-04-10 20:22:11

156

Views

Scheme theoretic fiber vs. Degree of a point of a finite morphism of affine schemes

Published on 10 Apr 2026 - 20:22

score 43 · Answer 12 · 2026-04-14 01:24:13

43

Views

Irreducible $F$-representations of finite abelian groups, for finite field $F$

Published on 14 Apr 2026 - 1:24

score 63 · Answer 13 · 2026-04-10 11:35:11

63

Views

Does a power of endomorphism factor through a projective?

Published on 10 Apr 2026 - 11:35

score 76 · Answer 14 · 2026-04-09 08:31:09

76

Views

Induced $G$-module - question about notation.

Published on 09 Apr 2026 - 8:31

score 67 · Answer 15 · 2026-04-14 19:56:41

67

Views

Quotient spaces and annihilators of inifinite dimensional vector spaces

Published on 14 Apr 2026 - 19:56

List Question

When does a finitely generated module over a Noetherian semi-local ring surject onto every simple module?

$\mathbb{Z}_{(p)}$-module structure on a cyclic group

Prove/Disprove $ \sum_{i=1}^{p-1} (i!)^2 \not\equiv 0 (\text{mod } p)$.

Support of the submodule of $M_B$ generated by $1\otimes x_i$ can easily be smaller than $Supp(B\otimes_A Ax_i)$ wher $M$ is finitely generated

Some calculation in $F_5[D_{30}]$.

If a module $M$ has DCC on essential submodules, then $\mathrm{soc}(M)$ is an essential submodule of $M$.

Showing $J(A)=0$, where $A$ is the path algebra of an oriented cycle

an isomorphism of dual module

UFD characterization via module theory

Are all indecomposable $\mathbb{Z}_+$-modules over the character ring of a group, character rings of a subgroup?

Scheme theoretic fiber vs. Degree of a point of a finite morphism of affine schemes

Irreducible $F$-representations of finite abelian groups, for finite field $F$

Does a power of endomorphism factor through a projective?

Induced $G$-module - question about notation.

Quotient spaces and annihilators of inifinite dimensional vector spaces

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