Some Closure Operations in Zariski-Riemann Spaces of Valuation Domains: A Survey

Carmelo Antonio Finocchiaro (), Marco Fontana () and K. Alan Loper ()
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Carmelo Antonio Finocchiaro: Università degli Studi Roma Tre, Dipartimento di Matematica e Fisica
Marco Fontana: Università degli Studi Roma Tre, Dipartimento di Matematica e Fisica
K. Alan Loper: Ohio State University, Department of Mathematics

A chapter in Commutative Algebra, 2014, pp 153-173 from Springer

Abstract: Abstract In this survey we present several results concerning various topologies that were introduced in recent years on spaces of valuation domains.

Keywords: Valuation domain; Semistar operation; b-operation; e.a.b. star operation; Spectral space; Constructible topology; Ultrafilter topology; Inverse topology; Kronecker function ring; 13A18; 13F05; 13G05 (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0925-4_9

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DOI: 10.1007/978-1-4939-0925-4_9

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