Geodesic
Separable Conservativity
Matematičeskie trudy, Tome 4 (2001) no. 1, pp. 18-24 
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/
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     title = {Separable {Conservativity}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Ershov Yu. L., Kratno normirovannye polya, Nauchnaya kniga, Novosibirsk, 2000

[2] Keisler G., Chen Ch. Ch., Teoriya modelei, Mir, M., 1977 | MR

[3] Ershov Y. L., “Projectivity of absolute Galois groups of $RC_\zeta^*$-fields”, Algebra, Proc. Ill Intern. Alg. Conf. (Krasnoyarsk), Walter de Gruyter, Berlin, New York, 1996, 63–80 | MR | Zbl