Geodesic
Factoring Ideals into Semiprime Ideals
Canadian journal of mathematics, Tome 30 (1978) no. 6, pp. 1313-1318

Voir la notice de l'article provenant de la source Cambridge University Press

Let 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. We prove that a domain D with property SP is almost Dedekind, and we give an example of a nonnoetherian almost Dedekind domain with property SP. 
Vaughan, N. H.; Yeagy, R. W. Factoring Ideals into Semiprime Ideals. Canadian journal of mathematics, Tome 30 (1978) no. 6, pp. 1313-1318. doi: 10.4153/CJM-1978-108-5
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