List questions from dedekind-domain

Published on 22 Mar 2026 - 20:33

195

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Why is $F[X]$ integrally closed?

Published on 23 Mar 2026 - 1:35

132

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localizations and overrings of Dedekind domains with prescribed spectrum

Published on 22 Mar 2026 - 17:43

85

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Conditions that a module has a unique largest divisible submodule.

Published on 22 Mar 2026 - 22:44

115

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Lemma about Dedekind ring

Published on 23 Mar 2026 - 10:27

232

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For a non-zero principal ideal $I=(x)$ of a ring of integers of an algebraic number field, $|A/I|=| N_{L|\mathbb Q } (x)|$

Published on 22 Mar 2026 - 12:31

311

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The multiplication map from tensor product is isomorphic

Published on 22 Mar 2026 - 22:07

135

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Proof that $A/\mathfrak{p}^n \simeq A_\mathfrak{p}/\mathfrak{p}^nA_\mathfrak{p}$, for all $n$ in a Dedekind domain $A$.

Published on 23 Mar 2026 - 8:11

81

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About definition of Fractional ideals: confusion (from Cohn's basic algebra)

Published on 22 Mar 2026 - 22:51

87

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Problem based on extension of Dedekind Domain

Published on 23 Mar 2026 - 4:00

465

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Finiteness of prime ideals in Dedekind domains

Published on 17 Mar 2026 - 13:11

716

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$\mathbb{Z}[\sqrt{5}]$ is not Dedekind?

Published on 25 Mar 2026 - 1:21

553

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Quotient of an ideal in Dedekind Domain is principal ring

Published on 25 Mar 2026 - 1:18

121

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Localization of Modules over Dedekind domains

Published on 20 Mar 2026 - 9:30

276

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How a finite extension of transcendence degree $1$ extensions induces a morphism of curves

Published on 25 Mar 2026 - 1:18

List Question

Dedekind ring with finite number of primes is principal

Why is $F[X]$ integrally closed?

localizations and overrings of Dedekind domains with prescribed spectrum

Conditions that a module has a unique largest divisible submodule.

Lemma about Dedekind ring

For a non-zero principal ideal $I=(x)$ of a ring of integers of an algebraic number field, $|A/I|=| N_{L|\mathbb Q } (x)|$

The multiplication map from tensor product is isomorphic

Proof that $A/\mathfrak{p}^n \simeq A_\mathfrak{p}/\mathfrak{p}^nA_\mathfrak{p}$, for all $n$ in a Dedekind domain $A$.

About definition of Fractional ideals: confusion (from Cohn's basic algebra)

Problem based on extension of Dedekind Domain

Finiteness of prime ideals in Dedekind domains

$\mathbb{Z}[\sqrt{5}]$ is not Dedekind?

Quotient of an ideal in Dedekind Domain is principal ring

Localization of Modules over Dedekind domains

How a finite extension of transcendence degree $1$ extensions induces a morphism of curves

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