Geodesic
On Condensed Noetherian Domains Whose Integral Closures are Discrete Valuation Rings
Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 166-168

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A condensed domain is an integral domain such that IJ = {xy : x ∊ I, y ∊ J } holds for each pair I, J of ideals. We prove that, under suitable conditions, a subring of a discrete valuation ring is condensed if and only if it contains an element of value 2. We also define the concept strongly condensed.
DOI : 10.4153/CMB-1989-024-7
Mots-clés : 13F05, 13A15, 13B20, 13E05, 13F30, 13G05 
Gottlieb, Christian. On Condensed Noetherian Domains Whose Integral Closures are Discrete Valuation Rings. Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 166-168. doi: 10.4153/CMB-1989-024-7
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     author = {Gottlieb, Christian},
     title = {On {Condensed} {Noetherian} {Domains} {Whose} {Integral} {Closures} are {Discrete} {Valuation} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {166--168},
     year = {1989},
     volume = {32},
     number = {2},
     doi = {10.4153/CMB-1989-024-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-024-7/}
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