Chapter

Commutative Algebra

pp 153-173

Date:

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

  • Carmelo Antonio FinocchiaroAffiliated withDipartimento di Matematica e Fisica, Università degli Studi Roma Tre Email author 
  • , Marco FontanaAffiliated withDipartimento di Matematica e Fisica, Università degli Studi Roma Tre
  • , K. Alan LoperAffiliated withDepartment of Mathematics, Ohio State University

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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

Mathematics Subject Classification (MSC2010):

13A18 13F05 13G05