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

Marra V.
2020-02

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.
Free lattice-ordered group; Partially ordered group; Right order; Spectral space; Stone duality; Total order
Settore MAT/02 - Algebra
ALGEBRA UNIVERSALIS
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/781894
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