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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 3, Pages 526–538
(Mi smj1309)
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This article is cited in 1 scientific paper (total in 1 paper)
Nice local global fields. IV
Yu. L. Ershov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
The notion of a nice local-global field, introduced and studied in the author's previous articles, is extended to the fields for which the family of all quasiclassical valuation rings is near Boolean. The main result of the article is the theorem of decidability of the elementary theory of the class of all such fields satisfying the maximality condition.
Received: 05.11.2001
Citation:
Yu. L. Ershov, “Nice local global fields. IV”, Sibirsk. Mat. Zh., 43:3 (2002), 526–538; Siberian Math. J., 43:3 (2002), 418–427
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https://www.mathnet.ru/eng/smj1309 https://www.mathnet.ru/eng/smj/v43/i3/p526
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