Some applications of the ultrafilter topology on spaces of valuation domains, Part I
In the present note we introduce the basic definitions and the main results concerning the spaces of valuation domains needed in the subsequent Part II.
Some applications of the ultrafilter topology on spaces of valuation domains, Part II
Let be a field and be a subring of . In the present note, we present the main applications of the so called on the space , introduced in the previous Part I. After recalling that is a spectral space, we give an explicit description of as the prime spectrum of a ring (even in the case when the quotient field of is a proper subfield of ). Moreover, we provide applications of the topological material previously introduced to the study of representations of integrally closed domains and...
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