List questions from commutative-algebra

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Can $\operatorname{Spec}(A)$ be expressed as an inverse limit?

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638

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Prove that some canonical homomorphism is injective.

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836

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Why would a field not be considered a discrete valuation ring?

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114

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For which countable successor ordinals $\alpha$ is the reverse order isomorphic to the ideals of a PID ordered by inclusion?

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165

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$R$ noetherian, $I$ injective $R$-module $\Rightarrow$ $S^{-1}I$ is injective over $S^{-1}R$

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252

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Proving an Equivalent Definition of Shellability

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228

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Splitting of an exact sequence

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870

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Find the field of fractions and the integral closure of a subring of $\mathbb Z[x]$.

Published on 23 Apr 2026 - 15:19

207

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Calculate the support of module

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408

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Annihilator of extension of scalars vs. the extension the annihilatar

Published on 11 Apr 2026 - 23:10

59

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example of an ideal $I$ in an integral domain $A$ for which there is a prime in $\text{Ass}(A/I)$ that is not in $\text{Ass}(A)$

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1k

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Units in a ring of fractions

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61

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Kernel of a morphism into blow up algebra

Published on 12 Apr 2026 - 7:12

877

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Conditions for faithful flatness

Published on 12 Apr 2026 - 6:19

List Question

Constant projective dimension of $R/I^i$ for all $i$.

Can $\operatorname{Spec}(A)$ be expressed as an inverse limit?

Prove that some canonical homomorphism is injective.

Why would a field not be considered a discrete valuation ring?

For which countable successor ordinals $\alpha$ is the reverse order isomorphic to the ideals of a PID ordered by inclusion?

$R$ noetherian, $I$ injective $R$-module $\Rightarrow$ $S^{-1}I$ is injective over $S^{-1}R$

Proving an Equivalent Definition of Shellability

Splitting of an exact sequence

Find the field of fractions and the integral closure of a subring of $\mathbb Z[x]$.

Calculate the support of module

Annihilator of extension of scalars vs. the extension the annihilatar

example of an ideal $I$ in an integral domain $A$ for which there is a prime in $\text{Ass}(A/I)$ that is not in $\text{Ass}(A)$

Units in a ring of fractions

Kernel of a morphism into blow up algebra

Conditions for faithful flatness

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