Question

How to count the number of elements in $(\mathbb{Z}[i]/I^{2014})\otimes_{\mathbb{Z}[i]}(\mathbb{Z}[i]/J^{2014})$?

score 122 · Answer 1 · 2026-03-25 04:41:32

122

Views

How to count the number of elements in $(\mathbb{Z}[i]/I^{2014})\otimes_{\mathbb{Z}[i]}(\mathbb{Z}[i]/J^{2014})$?

Published on 25 Mar 2026 - 4:41

score 77 · Answer 2 · 2026-03-27 12:07:08

77

Views

Finitely generated module $M$ over principal ideal domain splits into direct sum of $M_\text{tors}$ and $M' \subset M$.

Published on 27 Mar 2026 - 12:07

score 929 · Answer 3 · 2026-03-25 01:38:27

929

Views

If $R$ is a ring and $R^n$ and $R^m$ are isomorphic as left $R$-modules then they are also isomorphic as right R$-modules

Published on 25 Mar 2026 - 1:38

score 91 · Answer 4 · 2026-03-25 12:54:01

91

Views

Isomorphism between $R$-algebra $RG$ and $RG^{\ast}$

Published on 25 Mar 2026 - 12:54

score 1k · Answer 5 · 2026-03-21 23:46:09

1k

Views

Definition of socle of a module

Published on 21 Mar 2026 - 23:46

score 153 · Answer 6 · 2018-08-07 17:23:39

153

Views

Why does Herstein add all these extra hypotheses for a "simple" modules proof?

Published on 07 Aug 2018 - 17:23

score 200 · Answer 7 · 2026-03-25 01:34:04

200

Views

check that a module over polynomial ring is free

Published on 25 Mar 2026 - 1:34

score 590 · Answer 8 · 2026-03-25 07:44:05

590

Views

Is it true to say that : Every submodule of a module M contains in a maximal submodule?

Published on 25 Mar 2026 - 7:44

score 93 · Answer 9 · 2018-08-09 10:42:33

93

Views

Is every submodule contained in a maximal submodule (assuming there are two max. sub.)?

Published on 09 Aug 2018 - 10:42

score 86 · Answer 10 · 2018-08-10 02:04:48

86

Views

Splitting of Algebra Acting on a Module?

Published on 10 Aug 2018 - 2:04

score 328 · Answer 11 · 2018-08-10 08:53:02

328

Views

Does the definition of "local module" need to say all proper submodules are contained in the maximal submodule?

Published on 10 Aug 2018 - 8:53

score 31 · Answer 12 · 2026-03-27 18:14:56

31

Views

$rad(P)$ non-projective induces all submodules of P non-projective?

Published on 27 Mar 2026 - 18:14

score 116 · Answer 13 · 2026-03-27 18:07:47

116

Views

A left $A$-approximation of a torsionless module

Published on 27 Mar 2026 - 18:07

score 59 · Answer 14 · 2026-03-25 03:20:40

59

Views

Prove that the image of a ring via functor is a bimodule

Published on 25 Mar 2026 - 3:20

score 70 · Answer 15 · 2026-03-25 11:13:34

70

Views

maximal $R$-linearly independent subset of a finitely generated module

Published on 25 Mar 2026 - 11:13

List Question

How to count the number of elements in $(\mathbb{Z}[i]/I^{2014})\otimes_{\mathbb{Z}[i]}(\mathbb{Z}[i]/J^{2014})$?

Finitely generated module $M$ over principal ideal domain splits into direct sum of $M_\text{tors}$ and $M' \subset M$.

If $R$ is a ring and $R^n$ and $R^m$ are isomorphic as left $R$-modules then they are also isomorphic as right R$-modules

Isomorphism between $R$-algebra $RG$ and $RG^{\ast}$

Definition of socle of a module

Why does Herstein add all these extra hypotheses for a "simple" modules proof?

check that a module over polynomial ring is free

Is it true to say that : Every submodule of a module M contains in a maximal submodule?

Is every submodule contained in a maximal submodule (assuming there are two max. sub.)?

Splitting of Algebra Acting on a Module?

Does the definition of "local module" need to say all proper submodules are contained in the maximal submodule?

$rad(P)$ non-projective induces all submodules of P non-projective?

A left $A$-approximation of a torsionless module

Prove that the image of a ring via functor is a bimodule

maximal $R$-linearly independent subset of a finitely generated module

Trending Questions

Popular # Hahtags

Popular Questions