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Matematicheskie Trudy, 2001, Volume 4, Number 1, Pages 18–24 (Mi mt2)  
Separable Conservativity

Yu. L. Ershov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: We introduce separable conservativity, a natural property of independent Boolean families of valuation rings. For families with this property, the validity of the geometric local-global principle implies the validity of a stronger principle, the arithmetic local-global principle.
Key words: multi-valued field, local-global principle.
Received: 22.12.2000
Bibliographic databases:
UDC: 510.53
Language: Russian
Citation: Yu. L. Ershov, “Separable Conservativity”, Mat. Tr., 4:1 (2001), 18–24; Siberian Adv. Math., 11:4 (2001), 41–46
Citation in format AMSBIB
\Bibitem{Ers01}
\by Yu.~L.~Ershov
\paper Separable Conservativity
\jour Mat. Tr.
\yr 2001
\vol 4
\issue 1
\pages 18--24
\mathnet{http://mi.mathnet.ru/mt2}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1850145}
\zmath{https://zbmath.org/?q=an:1047.12005}
\transl
\jour Siberian Adv. Math.
\yr 2001
\vol 11
\issue 4
\pages 41--46
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    		Математические труды Siberian Advances in Mathematics
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