Publisher : Department of Mathematics, Kyungpook National University
DOI : 10.5666/KMJ.2008.48.3.443
Title & Authors
Weak Normality and Strong t-closedness of Generalized Power Series Rings Kim, Hwan-Koo; Kwon, Eun-Ok; Kwon, Tae-In;
For an extension of commutative rings, we present a sufficient conditio for the ring of generalized power series to be weakly normal (resp., stronglyt-closed) in , where (S, ) be a torsion-free cancellative strictly ordered monoid. As a corollary, it can be applied to the ring of power series in infinitely many indeterminates as well as in finite indeterminates.
weak normality;(strong) t-closedness;generalized power seriesring;
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