List questions from modules

Published on 31 Jan 2018 - 3:31

808

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Vector space isomorphic to direct sum

Published on 21 Mar 2026 - 19:18

671

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Rank of a submodule less or equal to the rank of the module?

Published on 31 Jan 2018 - 6:37

93

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On the existence of tensor product

Published on 31 Jan 2018 - 9:16

220

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Snake lemma and regular epi mono factorization

Published on 23 Mar 2026 - 11:39

251

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Let $A\subset B$ be an injective homomorphism of noetherian integral domains s.t. $B$ is finite as $A$-module and $A$ normal.

Published on 31 Jan 2018 - 15:18

237

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Doubt in snake lemma

Published on 16 Mar 2026 - 19:38

216

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On the generators of free $R$-modules.

Published on 23 Mar 2026 - 14:19

749

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Module over integral domain, "Rank-nullity theorem", Exact Sequence

Published on 19 Mar 2026 - 15:33

51

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Is $\bigcap_{i\in I}(M_i/N)=\bigl(\bigcap_{i\in I}M_i\bigr)/N$?

Published on 24 Mar 2026 - 22:15

478

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If M is a a left module over $M_n(D)$ where $D$ is a division ring, M is Noetherian iff Artinian

Published on 22 Mar 2026 - 4:54

85

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Conditions that a module has a unique largest divisible submodule.

Published on 22 Mar 2026 - 22:44

75

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What is $\partial_1$ of the inhomogeneous bar resolution?

Published on 17 Mar 2026 - 19:21

187

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If V is a non-zero completely reducible module, it contains an irreducible submodule

Published on 05 Feb 2018 - 17:55

511

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Existence of minimal spanning sets for Modules

Published on 05 Feb 2018 - 19:21

List Question

Prove $\mathbb{R}^n \cong \mathbb{R}$ as vector spaces over $\mathbb{Q}$

Vector space isomorphic to direct sum

Rank of a submodule less or equal to the rank of the module?

On the existence of tensor product

Snake lemma and regular epi mono factorization

Let $A\subset B$ be an injective homomorphism of noetherian integral domains s.t. $B$ is finite as $A$-module and $A$ normal.

Doubt in snake lemma

On the generators of free $R$-modules.

Module over integral domain, "Rank-nullity theorem", Exact Sequence

Is $\bigcap_{i\in I}(M_i/N)=\bigl(\bigcap_{i\in I}M_i\bigr)/N$?

If M is a a left module over $M_n(D)$ where $D$ is a division ring, M is Noetherian iff Artinian

Conditions that a module has a unique largest divisible submodule.

What is $\partial_1$ of the inhomogeneous bar resolution?

If V is a non-zero completely reducible module, it contains an irreducible submodule

Existence of minimal spanning sets for Modules

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