Orders on groups, and spectral spaces of lattice-groups

Colacito, Almudena; Marra, Vincenzo (2020). Orders on groups, and spectral spaces of lattice-groups. Algebra universalis, 81(1) Springer Nature 10.1007/s00012-019-0635-z

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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.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Colacito, Almudena

Subjects:

500 Science > 510 Mathematics

ISSN:

0002-5240

Publisher:

Springer Nature

Language:

English

Submitter:

Michel Arthur Bik

Date Deposited:

17 Feb 2020 16:13

Last Modified:

17 Feb 2020 16:13

Publisher DOI:

10.1007/s00012-019-0635-z

ArXiv ID:

1901.07638

BORIS DOI:

10.7892/boris.139937

URI:

https://boris.unibe.ch/id/eprint/139937

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