List questions from commutative-algebra

Published on 15 Apr 2026 - 4:16

130

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Algebras of double dual monad

Published on 25 Mar 2026 - 12:33

665

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Are isomorphisms as modules always isomorphisms as rings?

Published on 12 Apr 2026 - 11:50

44

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Subring of a global field

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74

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Can matrix factorizations be nonsquare?

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166

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How to show $x \otimes 1 = 0 \in R \otimes_{k_0} k$ implies $x=0$?

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81

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equivalent properties in absolutely flat rings

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83

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Integral domain and localization

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177

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Direct product of a family of groups/modules is the direct limit of a directed system formed by the family of groups/modules?

Published on 14 Apr 2026 - 3:03

123

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Finding Tor of k[x]-module

Published on 13 Apr 2026 - 16:06

234

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Generators of a maximal ideal

Published on 09 Apr 2026 - 23:25

145

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Two definitions for regular rings

Published on 09 Apr 2026 - 1:23

117

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If $\operatorname{Ext}^{1}_{\mathbf Z}(A, F) \cong 0$ for all free groups F, then A is free?

Published on 16 Apr 2026 - 8:28

65

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How are these isomorphic $ K \otimes_{k_0} k \cong S^{-1} \left( R \otimes_{k_0} k \Big{/} P_0 \cdot (R \otimes_{k_0} k) \right)$

Published on 27 Mar 2026 - 17:06

95

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Algebraic characterization (or sufficient condition) when a (graded) local hypersurface has rational singularity

Published on 03 May 2026 - 13:01

List Question

On the primary decomposition of an ideal

Algebras of double dual monad

Are isomorphisms as modules always isomorphisms as rings?

Subring of a global field

Can matrix factorizations be nonsquare?

How to show $x \otimes 1 = 0 \in R \otimes_{k_0} k$ implies $x=0$?

equivalent properties in absolutely flat rings

Integral domain and localization

Direct product of a family of groups/modules is the direct limit of a directed system formed by the family of groups/modules?

Finding Tor of k[x]-module

Generators of a maximal ideal

Two definitions for regular rings

If $\operatorname{Ext}^{1}_{\mathbf Z}(A, F) \cong 0$ for all free groups F, then A is free?

How are these isomorphic $ K \otimes_{k_0} k \cong S^{-1} \left( R \otimes_{k_0} k \Big{/} P_0 \cdot (R \otimes_{k_0} k) \right)$

Algebraic characterization (or sufficient condition) when a (graded) local hypersurface has rational singularity

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