List questions from modules

Published on 12 Apr 2026 - 10:23

68

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Lemma 8, Section 4.3 of Hungerford’s Algebra

Published on 26 Mar 2026 - 20:40

147

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$\mathbb{R}^2\otimes \mathbb{C}\cong \mathbb{C}^2$

Published on 14 Apr 2026 - 5:04

41

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Algorithms to decompose a graded module over R[x], where R is a PID

Published on 12 Apr 2026 - 16:42

155

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Prove that a field/commutative ring is IBN (invariant basis number).

Published on 16 Apr 2026 - 10:01

53

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Proposition 13, Section 4.3 of Hungerford’s Algebra

Published on 26 Mar 2026 - 22:14

62

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Question about If $B$ is a $A$-algebra and $N$ is a $B$-module, then can $N$ naturally become a $A$-module?

Published on 14 Apr 2026 - 17:45

65

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Module over infinite product of rings

Published on 11 Apr 2026 - 5:43

56

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Quotient module $\mathscr{O}[[X]] / \langle X^t , \pi^r \rangle $ is of finite-length

Published on 15 Apr 2026 - 10:37

59

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When is the span of a maximal linearly independent subset of a module essential?

Published on 10 Apr 2026 - 9:13

63

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Short exact sequence of finitely generated R-modules

Published on 14 Apr 2026 - 21:20

40

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About the definition for extension by scalars

Published on 11 Apr 2026 - 5:20

36

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Definition of Tensor Product in Hungerford’s Algebra

Published on 25 Apr 2026 - 18:13

40

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F is a free ZG-module implies F is also free as a ZK-module

Published on 13 Apr 2026 - 23:11

34

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Reference needed: Category of modules over Frobenius algebra is a Frobenius category

Published on 17 Apr 2026 - 1:28

List Question

Understanding the rank of a cokernel of a free abelian group homomorphism

Lemma 8, Section 4.3 of Hungerford’s Algebra

$\mathbb{R}^2\otimes \mathbb{C}\cong \mathbb{C}^2$

Algorithms to decompose a graded module over R[x], where R is a PID

Prove that a field/commutative ring is IBN (invariant basis number).

Proposition 13, Section 4.3 of Hungerford’s Algebra

Question about If $B$ is a $A$-algebra and $N$ is a $B$-module, then can $N$ naturally become a $A$-module?

Module over infinite product of rings

Quotient module $\mathscr{O}[[X]] / \langle X^t , \pi^r \rangle $ is of finite-length

When is the span of a maximal linearly independent subset of a module essential?

Short exact sequence of finitely generated R-modules

About the definition for extension by scalars

Definition of Tensor Product in Hungerford’s Algebra

F is a free ZG-module implies F is also free as a ZK-module

Reference needed: Category of modules over Frobenius algebra is a Frobenius category

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