List questions from commutative-algebra

Published on 25 Mar 2026 - 4:37

91

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Rank of completion of a module

Published on 22 Mar 2026 - 23:10

47

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reference for properties of basically disconnected space

Published on 25 Mar 2026 - 17:35

111

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Characterization of trivial localization of module?

Published on 25 Mar 2026 - 14:12

173

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Monoid ring over a field is a finitely generated $k$-algebra

Published on 23 Mar 2026 - 3:45

142

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Free module after tensoring with a flat local ring

Published on 22 Mar 2026 - 10:01

59

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A property similar to compactly packed

Published on 25 Mar 2026 - 11:53

41

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Symmetric product of a $k-$algebra

Published on 25 Mar 2026 - 5:02

570

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composition series and short exact sequences

Published on 22 Mar 2026 - 4:48

363

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compute $ \operatorname{Spec}\mathbb{Z}[x,y]/(x^2+y^2-n) $

Published on 23 Mar 2026 - 8:02

107

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Meaning of sentence in EGA I, Section 1.7.

Published on 22 Mar 2026 - 23:00

91

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Is the quotient of a tensor product by a group a free module

Published on 23 Mar 2026 - 2:04

239

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torsion-free modules $M$ over Noetherian domain of dimension $1$ for which $l(M/aM) \le (\dim_K K \otimes_R M) \cdot l(R/aR), \forall 0 \ne a \in R$

Published on 23 Mar 2026 - 3:17

202

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Given a prime ideal $P$ in a valuation ring $A$, there is a valuation ring $B$ containing $A$ such that $B/PB$ is the fraction field of $A/P$ ?

Published on 23 Mar 2026 - 4:04

793

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Commutative Noetherian, local, reduced ring has only one minimal prime ideal?

Published on 22 Mar 2026 - 17:31

List Question

Invertible sheaf whose global section is not finitely generated

Rank of completion of a module

reference for properties of basically disconnected space

Characterization of trivial localization of module?

Monoid ring over a field is a finitely generated $k$-algebra

Free module after tensoring with a flat local ring

A property similar to compactly packed

Symmetric product of a $k-$algebra

composition series and short exact sequences

compute $ \operatorname{Spec}\mathbb{Z}[x,y]/(x^2+y^2-n) $

Meaning of sentence in EGA I, Section 1.7.

Is the quotient of a tensor product by a group a free module

torsion-free modules $M$ over Noetherian domain of dimension $1$ for which $l(M/aM) \le (\dim_K K \otimes_R M) \cdot l(R/aR), \forall 0 \ne a \in R$

Given a prime ideal $P$ in a valuation ring $A$, there is a valuation ring $B$ containing $A$ such that $B/PB$ is the fraction field of $A/P$ ?

Commutative Noetherian, local, reduced ring has only one minimal prime ideal?

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