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

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Commutative Algebra

Abstract

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

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Acknowledgements

The authors thank the referee for providing helpful suggestions and pointing out to them the very recent paper by N. Schwartz [39].

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Authors and Affiliations

  1. Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre, Largo San Leonardo Murialdo 1, 00146, Roma, Italy

    Carmelo Antonio Finocchiaro & Marco Fontana

  2. Department of Mathematics, Ohio State University, Newark, OH, 43055, USA

    K. Alan Loper

Authors
  1. Carmelo Antonio Finocchiaro
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  2. Marco Fontana
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  3. K. Alan Loper
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Corresponding author

Correspondence to Carmelo Antonio Finocchiaro .

Editor information

Editors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi Roma Tre, Rome, Italy

    Marco Fontana

  2. Department of Mathematics, Graz University of Technology, Graz, Austria

    Sophie Frisch

  3. Department of Mathematics, University of Connecticut, Storrs, Connecticut, USA

    Sarah Glaz

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Finocchiaro, C.A., Fontana, M., Loper, K.A. (2014). Some Closure Operations in Zariski-Riemann Spaces of Valuation Domains: A Survey. In: Fontana, M., Frisch, S., Glaz, S. (eds) Commutative Algebra. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0925-4_9

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