A note on the algebraic de Morgan's law
S. B. Niefield, K. I. Rosenthal (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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S. B. Niefield, K. I. Rosenthal (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Experience shows that in geometric situations the separating ideal associated with two orderings of a ring measures the degree of tangency of the corresponding ultrafilters of semialgebraic sets. A related notion of separating ideals is introduced for pairs of valuations of a ring. The comparison of both types of separating ideals helps to understand how a point on a surface is approached by different half-branches of curves.