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Weak Normalization of Power Series Rings

Published online by Cambridge University Press:  20 November 2018

David E. Dobbs  and
Moshe Roitman
David E. Dobbs
Affiliation:
Department of Mathematics, University of Tennessee, Knoxville Tennessee 37996-1300, U.S.A.
Moshe Roitman
Affiliation:
Department of Mathematics and Computer Science, University of Haifa, Mount Carmel, Haifa 31905, Israel
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Abstract

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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.

Keywords

13G0513F2513B2213B25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 4 , 01 December 1995 , pp. 429 - 433
Copyright
Copyright © Canadian Mathematical Society 1995

References

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