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NTNU Open
Bachelor thesis . 2025
Data sources: NTNU Open
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Ideal Factorization in Dedekind Domains

Authors: Berentsen, Åsne Rudi;

Ideal Factorization in Dedekind Domains

Abstract

The goal of this thesis is to prove that in a Dedekind domain, every nonzero proper ideal is a product of prime ideals in which the factorization is unique up to reordering.

Målet med denne oppgaven er å bevise at i et dedekindområde er hvert ikke-null ekte ideal et produkt av primidealer hvor faktoriseringen er unik.

Country
Norway
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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green