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Some applications of the ultrafilter topology on spaces of valuation domains, Part II

Carmelo Antonio FinocchiaroMarco Fontana — 2010

Actes des rencontres du CIRM

Let K be a field and A be a subring of K . In the present note, we present the main applications of the so called on the space Zar ( K | A ) , introduced in the previous Part I. After recalling that Zar ( K | A ) is a spectral space, we give an explicit description of Zar ( K | A ) as the prime spectrum of a ring (even in the case when the quotient field of A is a proper subfield of K ). Moreover, we provide applications of the topological material previously introduced to the study of representations of integrally closed domains and...

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