Question

Idea to make tensor product of two module a module structure

score 36 · Answer 1 · 2026-03-22 09:00:05

36

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Idea to make tensor product of two module a module structure

Published on 22 Mar 2026 - 9:00

score 57 · Answer 2 · 2026-03-17 01:21:23

57

Views

$(2,1+\sqrt{-5}) \not \cong \mathbb{Z}[\sqrt{-5}]$ as $\mathbb{Z}[\sqrt{-5}]$-module

Published on 17 Mar 2026 - 1:21

score 1.2k · Answer 3 · 2026-03-21 19:18:51

1.2k

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Example of simple modules

Published on 21 Mar 2026 - 19:18

score 51 · Answer 4 · 2026-03-20 10:38:09

51

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$R$ a domain subset of a field $K$. $I\trianglelefteq R$, show $I$ is a projective $R$-module

Published on 20 Mar 2026 - 10:38

score 149 · Answer 5 · 2026-03-17 00:42:04

149

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$S_3$ action on the splitting field of $\mathbb{Q}[x]/(x^3 - x - 1)$

Published on 17 Mar 2026 - 0:42

score 161 · Answer 6 · 2026-03-17 10:49:38

161

Views

idempotent in quiver theory

Published on 17 Mar 2026 - 10:49

score 203 · Answer 7 · 2026-03-22 13:40:56

203

Views

Isomorphism of irreducible R-modules

Published on 22 Mar 2026 - 13:40

score 499 · Answer 8 · 2026-03-20 10:37:35

499

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projective module which is a submodule of a finitely generated free module

Published on 20 Mar 2026 - 10:37

score 84 · Answer 9 · 2026-03-22 13:11:48

84

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Exercise 15.10 in Cox's Book (first part)

Published on 22 Mar 2026 - 13:11

score 570 · Answer 10 · 2026-03-22 09:54:24

570

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direct sum of injective hull of two modules is equal to the injective hull of direct sum of those modules

Published on 22 Mar 2026 - 9:54

score 421 · Answer 11 · 2026-03-22 11:12:20

421

Views

Construction of universal derivation

Published on 22 Mar 2026 - 11:12

score 4.2k · Answer 12 · 2026-03-20 03:06:14

4.2k

Views

Is the quotient of a finitely generated module finitely generated?

Published on 20 Mar 2026 - 3:06

score 66 · Answer 13 · 2026-03-22 06:57:54

66

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Existence of adjugant with making given natural transformation be the counit

Published on 22 Mar 2026 - 6:57

score 144 · Answer 14 · 2026-03-20 01:53:17

144

Views

Prove statement about localization of modules

Published on 20 Mar 2026 - 1:53

score 178 · Answer 15 · 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

List Question

Idea to make tensor product of two module a module structure

$(2,1+\sqrt{-5}) \not \cong \mathbb{Z}[\sqrt{-5}]$ as $\mathbb{Z}[\sqrt{-5}]$-module

Example of simple modules

$R$ a domain subset of a field $K$. $I\trianglelefteq R$, show $I$ is a projective $R$-module

$S_3$ action on the splitting field of $\mathbb{Q}[x]/(x^3 - x - 1)$

idempotent in quiver theory

Isomorphism of irreducible R-modules

projective module which is a submodule of a finitely generated free module

Exercise 15.10 in Cox's Book (first part)

direct sum of injective hull of two modules is equal to the injective hull of direct sum of those modules

Construction of universal derivation

Is the quotient of a finitely generated module finitely generated?

Existence of adjugant with making given natural transformation be the counit

Prove statement about localization of modules

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

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