List questions from commutative-algebra

55

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Does sufficient information on the multiplicative group of the fraction field of a GCD and Factorization domain, captures unique factorization?

Published on 25 Mar 2026 - 1:18

688

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Is contraction of radical ideals and/or prime ideals surjective in this case?

Published on 29 Mar 2026 - 13:23

439

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Hilbert Basis Theorem Proof

Published on 01 Apr 2026 - 16:27

222

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$\text{Spec}(A)$ Noetherian implies $A$ Noetherian?

Published on 11 Oct 2018 - 5:21

241

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Suppose $A$ is a ring containing a field $F$. Is ring homomorphism from $F$ to $A$ unique?

Published on 29 Mar 2026 - 17:07

161

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Why is $R[\alpha]/2\alpha^2$ a free graded commutative algebra?

Published on 01 Apr 2026 - 16:22

206

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Is $Hom_R(k^2,k^2)=k$?

Published on 28 Mar 2026 - 8:10

285

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Tensor product with a lattice

Published on 28 Mar 2026 - 0:06

383

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Is the residue field of an algebraically closed valued field algebraically closed?

Published on 25 Mar 2026 - 11:23

113

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Hilbert series in Singular

Published on 25 Mar 2026 - 5:59

153

Views

Complete Intersection ideal whose initial ideal is not even Cohen-Macaulay

Published on 23 Mar 2026 - 6:27

310

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Hartshorne III 10.4

Published on 12 Oct 2018 - 15:16

203

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kernel of this map via Groebner basis

Published on 12 Oct 2018 - 16:50

190

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radical of the Jacobian ideal

Published on 29 Mar 2026 - 13:29

104

Views

reflexive ideal in regular local ring

Published on 02 Apr 2026 - 4:32

List Question

Does sufficient information on the multiplicative group of the fraction field of a GCD and Factorization domain, captures unique factorization?

Is contraction of radical ideals and/or prime ideals surjective in this case?

Hilbert Basis Theorem Proof

$\text{Spec}(A)$ Noetherian implies $A$ Noetherian?

Suppose $A$ is a ring containing a field $F$. Is ring homomorphism from $F$ to $A$ unique?

Why is $R[\alpha]/2\alpha^2$ a free graded commutative algebra?

Is $Hom_R(k^2,k^2)=k$?

Tensor product with a lattice

Is the residue field of an algebraically closed valued field algebraically closed?

Hilbert series in Singular

Complete Intersection ideal whose initial ideal is not even Cohen-Macaulay

Hartshorne III 10.4

kernel of this map via Groebner basis

radical of the Jacobian ideal

reflexive ideal in regular local ring

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