Question

Is the "basis" of a free module linearly independent?

score 425 · Answer 1 · 2026-03-25 03:24:08

425

Views

Is the "basis" of a free module linearly independent?

Published on 25 Mar 2026 - 3:24

score 82 · Answer 2 · 2018-10-12 14:12:36

82

Views

Comparing left principal ideals in a non commutative ring with unity

Published on 12 Oct 2018 - 14:12

score 103 · Answer 3 · 2026-03-20 10:29:39

103

Views

reflexive ideal in regular local ring

Published on 20 Mar 2026 - 10:29

score 161 · Answer 4 · 2026-03-26 23:09:04

161

Views

On projective ideals

Published on 26 Mar 2026 - 23:09

score 188 · Answer 5 · 2026-03-26 21:27:35

188

Views

Ideal $I$ in a Noetherian ring such that $I+(b)$ and $I+(a)$ are projective, where $ab\in I$

Published on 26 Mar 2026 - 21:27

score 35 · Answer 6 · 2018-10-13 01:24:14

35

Views

What is the compositum product module $MN$?

Published on 13 Oct 2018 - 1:24

score 76 · Answer 7 · 2026-03-28 08:08:43

76

Views

Examples of modules over a group ring

Published on 28 Mar 2026 - 8:08

score 56 · Answer 8 · 2026-03-26 04:27:17

56

Views

How to find the modules of a big number with a big powe ??

Published on 26 Mar 2026 - 4:27

score 97 · Answer 9 · 2026-03-26 17:32:48

97

Views

Show this representation of $\mathfrak{sl}_2(\mathbb C)$ is completely reducible

Published on 26 Mar 2026 - 17:32

score 32 · Answer 10 · 2026-03-28 08:29:28

32

Views

When does deleting the $n$-torsion elements make no difference?

Published on 28 Mar 2026 - 8:29

score 326 · Answer 11 · 2018-10-14 15:46:16

326

Views

Show that the ring of upper triangular 2x2 matrices is a direct sum of two of its modules

Published on 14 Oct 2018 - 15:46

score 170 · Answer 12 · 2026-03-25 23:38:34

170

Views

Action of sum of traspositions on a simple $\mathbb{C}[S_n]$-module

Published on 25 Mar 2026 - 23:38

score 63 · Answer 13 · 2018-10-15 01:15:47

63

Views

Step to prove that if |G| is infinite or |G| is divisible by char(k) then k[G] is not semisimple.

Published on 15 Oct 2018 - 1:15

score 210 · Answer 14 · 2018-10-15 05:51:03

210

Views

If $r$ is a nilpotent element of a commutative ring $R$ then $(r)$ is not a direct summand of $R$ as an $R$-module.

Published on 15 Oct 2018 - 5:51

score 127 · Answer 15 · 2018-10-15 11:05:35

127

Views

Submodules of dyadic rationals

Published on 15 Oct 2018 - 11:05

List Question

Is the "basis" of a free module linearly independent?

Comparing left principal ideals in a non commutative ring with unity

reflexive ideal in regular local ring

On projective ideals

Ideal $I$ in a Noetherian ring such that $I+(b)$ and $I+(a)$ are projective, where $ab\in I$

What is the compositum product module $MN$?

Examples of modules over a group ring

How to find the modules of a big number with a big powe ??

Show this representation of $\mathfrak{sl}_2(\mathbb C)$ is completely reducible

When does deleting the $n$-torsion elements make no difference?

Show that the ring of upper triangular 2x2 matrices is a direct sum of two of its modules

Action of sum of traspositions on a simple $\mathbb{C}[S_n]$-module

Step to prove that if |G| is infinite or |G| is divisible by char(k) then k[G] is not semisimple.

If $r$ is a nilpotent element of a commutative ring $R$ then $(r)$ is not a direct summand of $R$ as an $R$-module.

Submodules of dyadic rationals

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