List questions from dedekind-domain

Published on 29 Dec 2011 - 14:19

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Dedekind domain with a finite number of prime ideals is principal

Published on 02 Jan 2012 - 12:14

863

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In this special case the quotient polynomial ring is a UFD?

Published on 06 Mar 2012 - 4:13

917

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Detecting whether some rings are Dedekind domains

Published on 21 May 2012 - 17:09

111

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Finding separable extensions in which a prime ideal in a Dedekind domain splits

Published on 07 Oct 2012 - 3:48

130

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$I\mid J \iff I \supseteq J$ using localisation?

Published on 11 Jan 2013 - 10:43

34

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How to understand whether a given ideal is a prime ideal in a Dedekind domain

Published on 03 Nov 2020 - 10:06

42

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Primes in an extension over Dedekind domain

Published on 13 Nov 2020 - 5:55

620

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Doubt in finding an inverse of an ideal

Published on 01 Dec 2020 - 5:06

73

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Understanding a theorem about Dedekind domains.

Published on 03 Dec 2020 - 22:42

80

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Quotient ring Isomorphism in dedekind domain

Published on 26 Mar 2026 - 6:32

103

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Chapter 3, Theorem 24 on Marcus' "Number Fields".

Published on 19 Dec 2020 - 14:04

305

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Prime ideal factorization in non-monogenic ring of integers ($K=\mathbb{Q}(\sqrt[4]{24})$)

Published on 31 Dec 2020 - 23:33

790

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Localization of Dedekind domain at a prime ideal is a P.I.D

Published on 04 Jan 2021 - 13:26

211

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From general ramification theory to ramification indexes of morphisms of elliptic curves

Published on 26 Mar 2026 - 19:03

List Question

Dedekind domains

Dedekind domain with a finite number of prime ideals is principal

In this special case the quotient polynomial ring is a UFD?

Detecting whether some rings are Dedekind domains

Finding separable extensions in which a prime ideal in a Dedekind domain splits

$I\mid J \iff I \supseteq J$ using localisation?

How to understand whether a given ideal is a prime ideal in a Dedekind domain

Primes in an extension over Dedekind domain

Doubt in finding an inverse of an ideal

Understanding a theorem about Dedekind domains.

Quotient ring Isomorphism in dedekind domain

Chapter 3, Theorem 24 on Marcus' "Number Fields".

Prime ideal factorization in non-monogenic ring of integers ($K=\mathbb{Q}(\sqrt[4]{24})$)

Localization of Dedekind domain at a prime ideal is a P.I.D

From general ramification theory to ramification indexes of morphisms of elliptic curves

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