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Communications in Algebra Volume 30, 2002 - Issue 4
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Original Articles

KRULL AND VALUATIVE DIMENSIONS OF POWER SERIES RINGS OVER A PULLBACK

Mabrouk Ben Nasr Department of Mathematics, Laboratoire d'Algèbre E03/C15, Route Soukra BP 802, Sfax, 3018, Tunisia
Pages 1669-1677 | Received 01 Nov 1999, Published online: 01 Sep 2006
 
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ABSTRACT

The main purpose of this paper is to determine the Krull and valuative dimensions of the ring of power series in one variable over a pullback. We also treat the case where R is a finite intersection of pullbacks.

ACKNOWLEDGMENTS

The author thanks the referee for his valuable suggestions.

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