Question

Explicit function for the Module version of the Correspondance theorem

score 53 · Answer 1 · 2026-04-12 17:41:48

53

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Explicit function for the Module version of the Correspondance theorem

Published on 12 Apr 2026 - 17:41

score 47 · Answer 2 · 2026-04-16 22:44:56

47

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Prove that the rank of a direct product is equal to the sum of ranks of each individual module.

Published on 16 Apr 2026 - 22:44

score 127 · Answer 3 · 2026-04-16 13:52:38

127

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Examples of modules with no maximal proper submodules.

Published on 16 Apr 2026 - 13:52

score 38 · Answer 4 · 2026-04-14 23:09:23

38

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Why is the quotient of modules not defined on arbitrary pairs of modules?

Published on 14 Apr 2026 - 23:09

score 175 · Answer 5 · 2026-04-11 11:27:26

175

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Understanding proof that isomorphic modules afford equivalent representations.

Published on 11 Apr 2026 - 11:27

score 93 · Answer 6 · 2026-04-15 22:47:38

93

Views

Proving that if $M$ is a simple module, then any simple submodules of $M^n$ are isomorphic.

Published on 15 Apr 2026 - 22:47

score 119 · Answer 7 · 2026-04-10 00:04:39

119

Views

Is there a $\mathbb{Z}$-module epimorphism $\mathbb{Z} \to \mathbb{Q}$

Published on 10 Apr 2026 - 0:04

score 52 · Answer 8 · 2026-04-09 13:53:58

52

Views

Isn't any algebra with finite composition length and non-isomorphic simple modules semisimple?

Published on 09 Apr 2026 - 13:53

score 64 · Answer 9 · 2026-04-15 00:15:29

64

Views

$End_k(M ⊗_k K) \simeq K$

Published on 15 Apr 2026 - 0:15

score 127 · Answer 10 · 2026-04-16 09:51:49

127

Views

Product of Smith Normal Forms

Published on 16 Apr 2026 - 9:51

score 87 · Answer 11 · 2026-04-14 18:18:18

87

Views

Lang's Algebra page 613 equivalent definitions of Flat Module. F3 $\implies$ F1. How?

Published on 14 Apr 2026 - 18:18

score 116 · Answer 12 · 2026-04-10 19:48:25

116

Views

Problems with Vignéras' proof of Skolem-Noether th. in "Arithmétiques des Algèbres de Quaternions"

Published on 10 Apr 2026 - 19:48

score 62 · Answer 13 · 2026-04-14 22:37:54

62

Views

$IM=\{xm| x\in I, m\in M\} \leq M$

Published on 14 Apr 2026 - 22:37

score 64 · Answer 14 · 2026-04-16 10:19:06

64

Views

Do pseudo-isomorphisms of $R$-modules satisfy the 2 of 3 property?

Published on 16 Apr 2026 - 10:19

score 170 · Answer 15 · 2026-04-13 21:31:44

170

Views

Trouble understanding $G$-module.

Published on 13 Apr 2026 - 21:31

List Question

Explicit function for the Module version of the Correspondance theorem

Prove that the rank of a direct product is equal to the sum of ranks of each individual module.

Examples of modules with no maximal proper submodules.

Why is the quotient of modules not defined on arbitrary pairs of modules?

Understanding proof that isomorphic modules afford equivalent representations.

Proving that if $M$ is a simple module, then any simple submodules of $M^n$ are isomorphic.

Is there a $\mathbb{Z}$-module epimorphism $\mathbb{Z} \to \mathbb{Q}$

Isn't any algebra with finite composition length and non-isomorphic simple modules semisimple?

$End_k(M ⊗_k K) \simeq K$

Product of Smith Normal Forms

Lang's Algebra page 613 equivalent definitions of Flat Module. F3 $\implies$ F1. How?

Problems with Vignéras' proof of Skolem-Noether th. in "Arithmétiques des Algèbres de Quaternions"

$IM=\{xm| x\in I, m\in M\} \leq M$

Do pseudo-isomorphisms of $R$-modules satisfy the 2 of 3 property?

Trouble understanding $G$-module.

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