The space of prime ideals of a ring
C. Kohls (1958)
Fundamenta Mathematicae
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Displaying similar documents to “A note on the intersection multiplicity”
The space of prime ideals of a ring
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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.
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