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Orders on groups, and spectral spaces of lattice-groups

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Abstract

Extending pioneering work by Weinberg, Conrad, McCleary, and others, we provide a systematic way of relating spaces of right orders on a partially ordered group, on the one hand, and spectral spaces of free lattice-ordered groups, on the other. The aim of the theory is to pave the way for further fruitful interactions between the study of right orders on groups and that of lattice-groups. Special attention is paid to the important case of orders on groups.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Bern, Alpeneggstrasse 22, 3012, Bern, Switzerland

    Almudena Colacito

  2. Dipartimento di Matematica “Federigo Enriques”, Università degli Studi di Milano, via Cesare Saldini 50, 20133, Milan, Italy

    Vincenzo Marra

Authors
  1. Almudena Colacito
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  2. Vincenzo Marra
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Correspondence to Vincenzo Marra.

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Presented by W.Wm. McGovern.

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The research of the first-named author was supported by the Swiss National Science Foundation grant 200021_165850.

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Colacito, A., Marra, V. Orders on groups, and spectral spaces of lattice-groups. Algebra Univers. 81, 6 (2020). https://doi.org/10.1007/s00012-019-0635-z

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