List questions from modules

Published on 15 Apr 2026 - 2:35

816

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Vector space isomorphic to direct sum

Published on 29 Apr 2026 - 14:33

674

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

Published on 17 Apr 2026 - 3:51

97

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On the existence of tensor product

Published on 13 Apr 2026 - 19:51

227

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Snake lemma and regular epi mono factorization

Published on 29 Apr 2026 - 12:28

254

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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 15 Apr 2026 - 18:19

241

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Doubt in snake lemma

Published on 09 Apr 2026 - 17:03

226

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On the generators of free $R$-modules.

Published on 05 May 2026 - 7:37

755

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

Published on 07 May 2026 - 11:35

54

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

Published on 10 May 2026 - 12:34

486

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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 06 May 2026 - 7:33

90

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Conditions that a module has a unique largest divisible submodule.

Published on 29 Apr 2026 - 12:42

79

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

Published on 29 Apr 2026 - 12:56

190

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

Published on 14 Apr 2026 - 13:30

515

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Existence of minimal spanning sets for Modules

Published on 15 Apr 2026 - 18:41

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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