List questions from modules

Published on 25 Mar 2026 - 18:47

138

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Non-finitely generated modules over PID

Published on 14 Sep 2019 - 9:40

231

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$\dim M_p+\dim R/p\leq\dim M$?

Published on 27 Mar 2026 - 20:20

1.7k

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Show that $\mathbb Z/p\mathbb Z$ contains no zero-divisors except $0$

Published on 29 Mar 2026 - 19:10

54

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Rings without any principal homomorphic images or without any artinian homomorphic images

Published on 15 Sep 2019 - 9:46

174

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Show that $\mathbb{F}_p[x,y]/\langle x^py-xy^p\rangle$ is not finitely generated over $\mathbb{F}_p[x-ay]$

Published on 26 Mar 2026 - 4:36

82

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Is every ideal of a unit regular ring unit regular?

Published on 26 Mar 2026 - 20:25

149

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A dual of the result " every finitely generated module over a commutative ring is Hopfian"

Published on 26 Mar 2026 - 4:38

79

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$p\in\operatorname{Ass}(M)\iff \exists$ injective $R/p\to M$

Published on 25 Mar 2026 - 12:27

19

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mod(R/I) is an exact abelian full subcategory of mod(R)

Published on 17 Sep 2019 - 11:54

243

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Do we ever need irrational coefficients to generate a rational?

Published on 17 Sep 2019 - 12:02

209

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Can an indecomposable module be neither torsion nor torsion-free?

Published on 25 Mar 2026 - 12:26

41

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Question about Module "localization"

Published on 27 Mar 2026 - 12:34

297

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Atiyah Macdonald- Commutative algebra Chapter 2 Question 13

Published on 18 Sep 2019 - 7:27

277

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Vakil's Exercise 1.3.K.(a): Ring homomorphism and induced module structure on tensor product

Published on 18 Sep 2019 - 16:30

List Question

Quotient of annihilator module

Non-finitely generated modules over PID

$\dim M_p+\dim R/p\leq\dim M$?

Show that $\mathbb Z/p\mathbb Z$ contains no zero-divisors except $0$

Rings without any principal homomorphic images or without any artinian homomorphic images

Show that $\mathbb{F}_p[x,y]/\langle x^py-xy^p\rangle$ is not finitely generated over $\mathbb{F}_p[x-ay]$

Is every ideal of a unit regular ring unit regular?

A dual of the result " every finitely generated module over a commutative ring is Hopfian"

$p\in\operatorname{Ass}(M)\iff \exists$ injective $R/p\to M$

mod(R/I) is an exact abelian full subcategory of mod(R)

Do we ever need irrational coefficients to generate a rational?

Can an indecomposable module be neither torsion nor torsion-free?

Question about Module "localization"

Atiyah Macdonald- Commutative algebra Chapter 2 Question 13

Vakil's Exercise 1.3.K.(a): Ring homomorphism and induced module structure on tensor product

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