List questions from commutative-algebra

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Questions about evaluation map from $\mathbb Z[[X]]$ to $\mathbb Q$ and $\mathbb Z[[X]]$ to $\mathbb C$.

Published on 26 Mar 2026 - 4:52

224

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Exercise 0.6ii in Miles Reid's Commutative Algebra

Published on 29 Mar 2026 - 10:18

260

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Atiyah Macdonald 3.4

Published on 14 Apr 2026 - 11:58

53

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Prime spectra of polynomial algebras

Published on 14 Apr 2026 - 19:21

46

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Show that if $M$ is an invertible $R$-module, then $M^{-1}=\left\{ a \in K : am \in R \ \forall m \in M \right\}$

Published on 15 Apr 2026 - 13:19

205

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Counterexample of Split exact Sequences

Published on 11 Apr 2026 - 4:59

31

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In an adic ring A, if the image is nilpotent, there exists I containing x

Published on 30 Apr 2026 - 7:59

50

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Blow-up the two diagonals

Published on 14 Apr 2026 - 1:25

173

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Are $I$-adically complete $R$-modules the same as $I$-adically complete $R^\wedge_I$-modules?

Published on 12 Apr 2026 - 19:14

84

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Concerning $\langle p,q \rangle \subseteq k[p,q]$

Published on 26 Mar 2026 - 1:00

43

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Question on ideal whose radical is maximal is primary

Published on 13 Apr 2026 - 8:23

100

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Is $f$ an isomorphism?

Published on 09 Apr 2026 - 13:10

129

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ring automorphisms preserving module structure

Published on 09 Apr 2026 - 15:24

145

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Open morphism between Spec

Published on 08 Apr 2026 - 16:16

174

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Rank of dual sheaf

Published on 16 Apr 2026 - 6:30

List Question

Questions about evaluation map from $\mathbb Z[[X]]$ to $\mathbb Q$ and $\mathbb Z[[X]]$ to $\mathbb C$.

Exercise 0.6ii in Miles Reid's Commutative Algebra

Atiyah Macdonald 3.4

Prime spectra of polynomial algebras

Show that if $M$ is an invertible $R$-module, then $M^{-1}=\left\{ a \in K : am \in R \ \forall m \in M \right\}$

Counterexample of Split exact Sequences

In an adic ring A, if the image is nilpotent, there exists I containing x

Blow-up the two diagonals

Are $I$-adically complete $R$-modules the same as $I$-adically complete $R^\wedge_I$-modules?

Concerning $\langle p,q \rangle \subseteq k[p,q]$

Question on ideal whose radical is maximal is primary

Is $f$ an isomorphism?

ring automorphisms preserving module structure

Open morphism between Spec

Rank of dual sheaf

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