Geodesic
Separable Conservativity
Matematičeskie trudy, Tome 4 (2001) no. 1, pp. 18-24

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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. 
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     title = {Separable {Conservativity}},
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Yu. L. Ershov. Separable Conservativity. Matematičeskie trudy, Tome 4 (2001) no. 1, pp. 18-24. http://geodesic.mathdoc.fr/item/MT_2001_4_1_a1/