List questions from commutative-algebra

Published on 31 Jan 2019 - 2:39

384

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Finding a unique ring homomorphism

Published on 25 Mar 2026 - 7:40

187

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Does the category of artinian rings admit finite limits?

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256

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Algebraic dependence of $xy, xz$ and $ yz$ over $\mathbb{C}$ and their symmetry

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114

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On the dual group of the group of units of commutative ring

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380

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Ideal in polynomial ring which contains no non-zero prime ideal

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112

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Equality of fractions in localization as quotient

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68

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Theorem on Injective Dimension in Weibel's "An Introduction to Homological Algebra"

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301

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Is every commutative ring a limit of noetherian rings?

Published on 25 Mar 2026 - 9:53

85

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$\phi: K \to K$ be an $F$-embedding with ${tr.}\;{deg}(K/F)$ finite then $\phi$ is surjective.

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261

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Serre's Structure Sheaf on Affine Space - Clarification

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32

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When is a map integral under these conditions?

Published on 02 Feb 2019 - 2:18

87

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Domain such that countable intersections of nonzero ideals are nonzero.

Published on 03 Feb 2019 - 1:10

464

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Relation of complete homogeneous symmetric polynomials and the elementary symmetric polynomials

Published on 25 Mar 2026 - 19:06

103

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Every finite integral extension of a Henselian, pseudo-geometric and analytically normal ring is algebraically closed in its completion.

Published on 25 Mar 2026 - 18:57

List Question

Irreducible components of hypersurface

Finding a unique ring homomorphism

Does the category of artinian rings admit finite limits?

Algebraic dependence of $xy, xz$ and $ yz$ over $\mathbb{C}$ and their symmetry

On the dual group of the group of units of commutative ring

Ideal in polynomial ring which contains no non-zero prime ideal

Equality of fractions in localization as quotient

Theorem on Injective Dimension in Weibel's "An Introduction to Homological Algebra"

Is every commutative ring a limit of noetherian rings?

$\phi: K \to K$ be an $F$-embedding with ${tr.}\;{deg}(K/F)$ finite then $\phi$ is surjective.

Serre's Structure Sheaf on Affine Space - Clarification

When is a map integral under these conditions?

Domain such that countable intersections of nonzero ideals are nonzero.

Relation of complete homogeneous symmetric polynomials and the elementary symmetric polynomials

Every finite integral extension of a Henselian, pseudo-geometric and analytically normal ring is algebraically closed in its completion.

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