List questions from modules

Published on 11 Apr 2026 - 2:47

759

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Perfect pairing induces isomorphism of tensor products

Published on 13 Apr 2026 - 0:14

107

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Does "pseudo-independent implies independent" imply that $R$ is a field?

Published on 12 Apr 2026 - 15:52

343

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Matrix ring $M_2(\mathbb{C})$, $\mathbb{C}^2$ with $M_2(\mathbb{C})$-module structure.

Published on 13 Apr 2026 - 18:40

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Free module over a set

Published on 14 Apr 2026 - 22:54

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$UTM_n[D]$ is artinian

Published on 15 Apr 2026 - 2:57

406

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$M_1 \to M_2 \to M_3 \to 0$ exact iff $0 \to \text{Hom}_A(M_3, N) \to \text{Hom}_A(M_2, N) \to \text{Hom}_A(M_1, N)$ is exact.

Published on 17 Apr 2026 - 9:35

148

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What is $\mathbb{Z}[i] \otimes_{\mathbb{Z}[2i]} \mathbb{Z}[i]$?

Published on 08 Apr 2026 - 23:13

268

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Number of ideals in a minimal irreducible decomposition

Published on 16 Apr 2026 - 9:40

346

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Singular matrix with entries in a ring.

Published on 22 Apr 2026 - 11:48

285

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Relation between Tensor-hom adjunction and adjugate matrix

Published on 16 Apr 2026 - 7:55

127

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Question about proof of Corollary 2.18 from Eisenbud

Published on 12 Apr 2026 - 5:30

384

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What are the direct summands in $\mathbb{Z}^n$?

Published on 09 Apr 2026 - 18:29

5.5k

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Book for Module Theory

Published on 12 Apr 2026 - 13:28

664

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Invertible matrix over a ring and its eigenvalues

Published on 16 Apr 2026 - 13:18

List Question

Is $\oplus_{i \in I} M_i$ necessarily projective?

Perfect pairing induces isomorphism of tensor products

Does "pseudo-independent implies independent" imply that $R$ is a field?

Matrix ring $M_2(\mathbb{C})$, $\mathbb{C}^2$ with $M_2(\mathbb{C})$-module structure.

Free module over a set

$UTM_n[D]$ is artinian

$M_1 \to M_2 \to M_3 \to 0$ exact iff $0 \to \text{Hom}_A(M_3, N) \to \text{Hom}_A(M_2, N) \to \text{Hom}_A(M_1, N)$ is exact.

What is $\mathbb{Z}[i] \otimes_{\mathbb{Z}[2i]} \mathbb{Z}[i]$?

Number of ideals in a minimal irreducible decomposition

Singular matrix with entries in a ring.

Relation between Tensor-hom adjunction and adjugate matrix

Question about proof of Corollary 2.18 from Eisenbud

What are the direct summands in $\mathbb{Z}^n$?

Book for Module Theory

Invertible matrix over a ring and its eigenvalues

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