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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Colacito-Marra2020_Article_OrdersOnGroupsAndSpectralSpace.pdf - Published Version Available under License Publisher holds Copyright. Download (492kB) | Preview |
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1901.07638.pdf - Published Version Available under License Publisher holds Copyright. Download (306kB) | Preview |
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) |
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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: |
25 Jan 2024 00:25 |
Publisher DOI: |
10.1007/s00012-019-0635-z |
ArXiv ID: |
1901.07638 |
Uncontrolled Keywords: |
Partially ordered group, Total order, Right order, Free lattice-ordered group, Spectral space, Stone duality |
BORIS DOI: |
10.7892/boris.139937 |
URI: |
https://boris.unibe.ch/id/eprint/139937 |
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