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General Néron desingularization and approximation

Published online by Cambridge University Press:  22 January 2016

Dorin Popescu*
Affiliation:
INCREST Department of Mathematics, Bd. Păcii 220, 79622 Bucharest, ROMANIA
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Let A be a noetherian ring (all the rings are supposed here to be commutative with identity), aA a proper ideal and  the completion of A in the α-adic topology. We consider the following conditions

(WAP) Every finite system of polynomial equations over A has a solution in A iff it has one in Â.

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Type
Research Article
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Copyright © Editorial Board of Nagoya Mathematical Journal 1986