List questions from commutative-algebra

Published on 11 Apr 2026 - 16:37

312

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On homological dimensions of finitely generated modules over a local ring and its completion

Published on 25 Mar 2026 - 3:02

71

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How to prove $(B \backslash P)^{-1} (A \otimes_B B)$ is isomorphic to $A \otimes_B B_P$

Published on 27 Mar 2026 - 17:04

234

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Is $1 \otimes 1$ always the unity element in a tensor product?

Published on 16 Apr 2026 - 7:41

549

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Integral closure/normalization under base change

Published on 13 Apr 2026 - 23:12

91

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example of commutative ring where two equal principal ideals have generators which do not differ by a unit

Published on 12 Apr 2026 - 16:00

204

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Does the completion of a local Gorenstein ring has finite injective dimension over the original ring?

Published on 04 Apr 2026 - 1:24

81

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Do finitely generated modules have finitely generated endomorphism modules?

Published on 12 Apr 2026 - 17:26

377

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Local Noetherian ring is Artinian when power of maximal ideal is zero.

Published on 15 Apr 2026 - 20:47

77

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Dividing a ring by the annihilator of a Noetherian module yields a Noetherian ring

Published on 15 Apr 2026 - 3:38

76

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How to show the length of $A$-module $A/\mathfrak p$ is $\infty$?

Published on 11 Apr 2026 - 5:05

112

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Concrete examples of Freyd-Mitchell embedding

Published on 10 Apr 2026 - 13:46

89

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Zeta-function of simple algebras over $\sharp$-fields

Published on 20 Apr 2026 - 13:13

99

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Kernel of tensor product

Published on 14 Apr 2026 - 9:40

136

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Is it possible to deduce that $\mathbb C^2 \setminus \{ (0,0) \}$ is not affine directly from Hartogs's principle?

Published on 25 Mar 2026 - 16:01

List Question

Meaning of the $I/mI$ in a given ring A

On homological dimensions of finitely generated modules over a local ring and its completion

How to prove $(B \backslash P)^{-1} (A \otimes_B B)$ is isomorphic to $A \otimes_B B_P$

Is $1 \otimes 1$ always the unity element in a tensor product?

Integral closure/normalization under base change

example of commutative ring where two equal principal ideals have generators which do not differ by a unit

Does the completion of a local Gorenstein ring has finite injective dimension over the original ring?

Do finitely generated modules have finitely generated endomorphism modules?

Local Noetherian ring is Artinian when power of maximal ideal is zero.

Dividing a ring by the annihilator of a Noetherian module yields a Noetherian ring

How to show the length of $A$-module $A/\mathfrak p$ is $\infty$?

Concrete examples of Freyd-Mitchell embedding

Zeta-function of simple algebras over $\sharp$-fields

Kernel of tensor product

Is it possible to deduce that $\mathbb C^2 \setminus \{ (0,0) \}$ is not affine directly from Hartogs's principle?

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