Question

Idea to make tensor product of two module a module structure

score 45 · Answer 1 · 2026-04-29 12:15:08

45

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Idea to make tensor product of two module a module structure

Published on 29 Apr 2026 - 12:15

score 74 · Answer 2 · 2026-05-07 10:10:30

74

Views

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

Published on 07 May 2026 - 10:10

score 1.2k · Answer 3 · 2026-05-05 21:51:20

1.2k

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Example of simple modules

Published on 05 May 2026 - 21:51

score 57 · Answer 4 · 2026-04-29 12:15:06

57

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

Published on 29 Apr 2026 - 12:15

score 160 · Answer 5 · 2026-05-05 02:42:19

160

Views

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

Published on 05 May 2026 - 2:42

score 175 · Answer 6 · 2026-05-05 02:41:45

175

Views

idempotent in quiver theory

Published on 05 May 2026 - 2:41

score 211 · Answer 7 · 2026-04-29 12:15:09

211

Views

Isomorphism of irreducible R-modules

Published on 29 Apr 2026 - 12:15

score 506 · Answer 8 · 2026-04-29 12:15:14

506

Views

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

Published on 29 Apr 2026 - 12:15

score 96 · Answer 9 · 2026-05-07 11:32:42

96

Views

Exercise 15.10 in Cox's Book (first part)

Published on 07 May 2026 - 11:32

score 577 · Answer 10 · 2026-05-02 23:48:47

577

Views

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

Published on 02 May 2026 - 23:48

score 427 · Answer 11 · 2026-04-29 12:15:05

427

Views

Construction of universal derivation

Published on 29 Apr 2026 - 12:15

score 4.2k · Answer 12 · 2026-04-29 12:16:22

4.2k

Views

Is the quotient of a finitely generated module finitely generated?

Published on 29 Apr 2026 - 12:16

score 72 · Answer 13 · 2026-04-29 12:15:10

72

Views

Existence of adjugant with making given natural transformation be the counit

Published on 29 Apr 2026 - 12:15

score 153 · Answer 14 · 2026-05-07 19:21:07

153

Views

Prove statement about localization of modules

Published on 07 May 2026 - 19:21

score 185 · Answer 15 · 2026-05-07 18:00:43

185

Views

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

Published on 07 May 2026 - 18:00

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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