Weak Normalization of Power Series Rings
1995 ◽
Vol 38
(4)
◽
pp. 429-433
◽
AbstractIt 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.
2012 ◽
Vol 12
(01)
◽
pp. 1250123
◽
Keyword(s):
1986 ◽
Vol 38
(1)
◽
pp. 158-178
◽
Keyword(s):
2015 ◽
Vol 25
(05)
◽
pp. 725-744
◽
2013 ◽
Vol 13
(02)
◽
pp. 1350083
◽
Keyword(s):
2015 ◽
Vol 2015
◽
pp. 1-6
2011 ◽
Vol 10
(06)
◽
pp. 1383-1399
◽
2013 ◽
Vol 50
(4)
◽
pp. 436-453
2016 ◽
Vol 10
(02)
◽
pp. 1750034
◽
2014 ◽
Vol 13
(07)
◽
pp. 1450048
◽
Keyword(s):