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Archimedean kernel of a lattice ordered group. (English) Zbl 0384.06021


MSC:

06F15 Ordered groups
06B23 Complete lattices, completions
06F20 Ordered abelian groups, Riesz groups, ordered linear spaces
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References:

[1] G. Birkhoff: Lattice theory. 3rd edition, Providence 1967. · Zbl 0153.02501
[2] P. Conrad: Lattice ordered groups. Tulane University, 1970. · Zbl 0258.06011
[3] Л. Фукс: Частично упорядочгнныз алгебраические системы. Москва 1965. · Zbl 1099.01519
[4] Я. Якубик: Представления и расширения l-групп. Czech. Math. J. 13 (1963), 267-283. · Zbl 0288.60070
[5] J. Jakubík: Radical mappings and radical classes of lattice ordered groups. Symposia Mathem. 21 (1977), 451-477.
[6] J. Martinez: Torsion theory for lattice ordered groups. Czech. Math. J. 25 (1975), 284-299. · Zbl 0321.06020
[7] Ф. Шик: К теории структурно упорядоченных групп. Czech. Math. J. 6 (1956), 1 - 25. · Zbl 0995.90522 · doi:10.1287/mnsc.3.1.45
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