Geodesic
An Almost Krull Domain with Divisorial Height One Primes
Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 50-53

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DOI

E. Pirtle has conjectured that if D is an almost Krull domain in which the height one prime ideals are divisorial then D is a Krull domain. An example is given to show that this is not the case. Further, let U = and let denote the set of prime ideals of D which are minimal over some ideal (a):(b), where a, b ∈ D. If Dp is a valuation ring for each let then Huckaba and Papick have asked whether D[x]U must be a Prufer domain. The given example shows that it need not be.
DOI : 10.4153/CMB-1986-009-6
Mots-clés : 13G05, 13F99 
Arnold, J. T.; Matsuda, Ryuki. An Almost Krull Domain with Divisorial Height One Primes. Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 50-53. doi: 10.4153/CMB-1986-009-6
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     title = {An {Almost} {Krull} {Domain} with {Divisorial} {Height} {One} {Primes}},
     journal = {Canadian mathematical bulletin},
     pages = {50--53},
     year = {1986},
     volume = {29},
     number = {1},
     doi = {10.4153/CMB-1986-009-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-009-6/}
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