Ideal Factorization in Dedekind Domains
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.
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Factoring Ideals into Semiprime Ideals
Canadian Journal of Mathematics, 1978Let D be an integral domain with 1 ≠ 0 . We consider “property SP” in D, which is that every ideal is a product of semiprime ideals. (A semiprime ideal is equal to its radical.) It is natural to consider property SP after studying Dedekind domains, which involve factoring ideals into prime ideals.
Vaughan, N. H., Yeagy, R. W.
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