List questions from dedekind-domain

Published on 30 Mar 2018 - 18:27

576

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How does passing to ideals solve the problem of unique factorization?

Published on 08 Apr 2018 - 14:21

1k

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Proof that ideals of Dedekind domains are generated by at most two elements: how does the bolded step in the proof work?

Published on 13 Apr 2018 - 20:32

411

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Show that a ring is a Dedekind domain

Published on 22 Mar 2026 - 12:34

62

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Is $M_n(R)$ Dedekind if $R$ is Dedekind?

Published on 21 Apr 2018 - 15:39

112

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Prime decomposition in a Dedekind domain

Published on 22 Mar 2026 - 9:52

30

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Every cut in R+ ist a dedekind cut?

Published on 22 Mar 2026 - 14:33

954

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Ideal Class Group of $\mathbb{Q}(\sqrt{65})$

Published on 22 Mar 2026 - 20:20

711

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There exist an integral ideal prime to a given nonzero integral ideal

Published on 10 May 2018 - 18:49

431

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Characteristic of residue field in a Dedekind domain.

Published on 20 Mar 2026 - 2:34

189

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Serre's (Krull's) criterion for normality in practice

Published on 16 Jun 2018 - 23:09

136

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Fractional ideals problem

Published on 21 Mar 2026 - 23:26

183

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Ideals in quotients of Dedekind domains

Published on 22 Mar 2026 - 13:33

189

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Fractional ideals are isomorphic to relatively prime integral ideals in Dedekind domains

Published on 25 Jun 2018 - 14:31

638

Views

Is a number ring a Dedekind domain?

Published on 22 Mar 2026 - 9:33

List Question

Application Chinese Remainder Theorem to Dedekind Domains

How does passing to ideals solve the problem of unique factorization?

Proof that ideals of Dedekind domains are generated by at most two elements: how does the bolded step in the proof work?

Show that a ring is a Dedekind domain

Is $M_n(R)$ Dedekind if $R$ is Dedekind?

Prime decomposition in a Dedekind domain

Every cut in R+ ist a dedekind cut?

Ideal Class Group of $\mathbb{Q}(\sqrt{65})$

There exist an integral ideal prime to a given nonzero integral ideal

Characteristic of residue field in a Dedekind domain.

Serre's (Krull's) criterion for normality in practice

Fractional ideals problem

Ideals in quotients of Dedekind domains

Fractional ideals are isomorphic to relatively prime integral ideals in Dedekind domains

Is a number ring a Dedekind domain?

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