List questions from modules

Published on 14 Apr 2026 - 0:16

47

Views

Endofunctor of modules induced from pushout of commutative rings

Published on 11 Apr 2026 - 17:34

26

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Shaphiro's lemma over a field.

Published on 15 Apr 2026 - 10:48

44

Views

How do you define modules for polynomial algebras?

Published on 10 Apr 2026 - 4:57

59

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Modules isomorphic to itself direct product.

Published on 17 Apr 2026 - 3:34

62

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Does isomorphism of the underlying module/abelian group structure imply an isomorphism of algebras

Published on 11 Apr 2026 - 21:22

78

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Show that two matrices are similar in $M_p(\mathbb{F}_p)$.

Published on 16 Apr 2026 - 21:14

41

Views

Where my reasoning about module homomorphisms is wrong?

Published on 10 Apr 2026 - 22:39

39

Views

Let $x,y,z,t$ be elements of a ring $R$ such that $xz=yt=1,xt=yz=0$ and $zx+ty=1$. Prove that the left $R$-modules $R$ and $R \oplus R$ are isomorphic

Published on 25 Mar 2026 - 14:25

50

Views

Quotient module for the regular representation of the cyclic group of order 3.

Published on 14 Apr 2026 - 0:43

78

Views

Group ring $\mathbb{Z}G$ with special property on $G$

Published on 15 Apr 2026 - 9:38

149

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Finding Submodules of $\mathbb{Q}[x]/(x^3)$

Published on 16 Apr 2026 - 15:09

47

Views

$p$-divisibility vs tensoring with $\mathbb{Z}_p$.

Published on 11 Apr 2026 - 10:00

64

Views

Standard basis in representation theory.

Published on 11 Apr 2026 - 9:41

29

Views

Showing an ideal $(x_1, ... ,x_n)$ of a PID $R$ contains 1 using a submodule of $R^n$

Published on 15 Apr 2026 - 17:05

List Question

Abelian group is free iff projective

Endofunctor of modules induced from pushout of commutative rings

Shaphiro's lemma over a field.

How do you define modules for polynomial algebras?

Modules isomorphic to itself direct product.

Does isomorphism of the underlying module/abelian group structure imply an isomorphism of algebras

Show that two matrices are similar in $M_p(\mathbb{F}_p)$.

Where my reasoning about module homomorphisms is wrong?

Let $x,y,z,t$ be elements of a ring $R$ such that $xz=yt=1,xt=yz=0$ and $zx+ty=1$. Prove that the left $R$-modules $R$ and $R \oplus R$ are isomorphic

Quotient module for the regular representation of the cyclic group of order 3.

Group ring $\mathbb{Z}G$ with special property on $G$

Finding Submodules of $\mathbb{Q}[x]/(x^3)$

$p$-divisibility vs tensoring with $\mathbb{Z}_p$.

Standard basis in representation theory.

Showing an ideal $(x_1, ... ,x_n)$ of a PID $R$ contains 1 using a submodule of $R^n$

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