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.
Orders on groups, and spectral spaces of lattice-groups / A. Colacito, V. Marra. - In: ALGEBRA UNIVERSALIS. - ISSN 0002-5240. - 81:1(2020 Feb), pp. 6.1-6.30. [10.1007/s00012-019-0635-z]
Orders on groups, and spectral spaces of lattice-groups
V. Marra
2020
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.File | Dimensione | Formato | |
---|---|---|---|
CM19_AU_Revised.pdf
Open Access dal 02/02/2021
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
223.02 kB
Formato
Adobe PDF
|
223.02 kB | Adobe PDF | Visualizza/Apri |
Colacito-Marra2020_Article_OrdersOnGroupsAndSpectralSpace.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
481.1 kB
Formato
Adobe PDF
|
481.1 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.