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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 3, Pages 526–538 (Mi smj1309)  

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
Full-text PDF (243 kB) Citations (1)
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
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 3, Pages 418–427
DOI: https://doi.org/10.1023/A:1015451216172
Bibliographic databases:
UDC: 510.53:512.52
Language: Russian
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
Citation in format AMSBIB
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\vol 43
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\pages 526--538
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\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 3
\pages 418--427
\crossref{https://doi.org/10.1023/A:1015451216172}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000176346500003}
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  • https://www.mathnet.ru/eng/smj/v43/i3/p526
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    Сибирский математический журнал Siberian Mathematical Journal
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