Geodesic
Weak Normalization of Power Series Rings
Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 429-433

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It is proved that if r* is the weak normalization of an integral domain r, then the weak normalization of the power series ring r[[x1,....xn]] is contained in R*[[X1,....Xn]]. Consequently, if R is a weakly normal integral domain, then R[[X1,....Xn]] is also weakly normal.
DOI : 10.4153/CMB-1995-062-0
Mots-clés : 13G05, 13F25, 13B22, 13B25 
Dobbs, David E.; Roitman, Moshe. Weak Normalization of Power Series Rings. Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 429-433. doi: 10.4153/CMB-1995-062-0
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     title = {Weak {Normalization} of {Power} {Series} {Rings}},
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     year = {1995},
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     number = {4},
     doi = {10.4153/CMB-1995-062-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-062-0/}
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