Geodesic
Valuation Rings and Integral Closure
Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 327-330

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DOI

A famous theorem of Krull's is that the integral closure of an integral domain D is the intersection of the valuation domains that contain D. An example is given to show that the same result need not hold for the integral closure of a ring with zero divisors.
DOI : 10.4153/CMB-1990-054-1
Mots-clés : 13A18, 13B20 
Lucas, Thomas G. Valuation Rings and Integral Closure. Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 327-330. doi: 10.4153/CMB-1990-054-1
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     author = {Lucas, Thomas G.},
     title = {Valuation {Rings} and {Integral} {Closure}},
     journal = {Canadian mathematical bulletin},
     pages = {327--330},
     year = {1990},
     volume = {33},
     number = {3},
     doi = {10.4153/CMB-1990-054-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-054-1/}
}
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