Geodesic
Overrings of Half-Factorial Domains
Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 437-442

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

An atomic integral domain D is a half-factorial domain (HFD) if for any irreducible elements α1,..., αn, β1,..., βm of D with α1... αn = β1 ...βm , then n = m. In [3], Anderson, Anderson, and Zafrullah explore factorization problems in overrings of HFDs and ask whether a localization of a HFD is again a HFD. We construct an example of a Dedekind domain which is a HFD, but with a localization which is not a HFD. We also give an example of a Dedekind domain where each localization is a HFD, but with an overring which is not a HFD.
DOI : 10.4153/CMB-1994-063-2
Mots-clés : Primary: 13F05, secondary: 13F15, 13G05, 13A15 
Anderson, David F.; Chapman, Scott T.; Smith, William W. Overrings of Half-Factorial Domains. Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 437-442. doi: 10.4153/CMB-1994-063-2
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