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Closed and open sets in topologies induced by lattice ordered vector groups. (English) Zbl 0271.06019

MSC:
06F15 Ordered groups
54H10 Topological representations of algebraic systems
54G05 Extremally disconnected spaces, \(F\)-spaces, etc.
06E05 Structure theory of Boolean algebras
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References:
[1] L. Fuchs: Частично упорядоченные алгебраические системы. Moscow 1965. · Zbl 0192.09603
[2] L. Gillman, M. Jerison: Rings of continuous functions. Princeton 1960. · Zbl 0093.30001
[3] K. Neumann: Über Darstellung von Verbänden mit \(o\)-Idealen gerichteter Gruppen. Archivum Mathematicum 4 (1968), 61 - 73. · Zbl 0211.02705
[4] P. Ribenboim: Un théorème de réalisation de groupes réticulés. Pacific J. M. 10 (1960), 305-309. · Zbl 0104.02602
[5] R. Sikorski: Булевы алгебры. Moscow 1969. · Zbl 0191.31505
[6] F. Šik: Über Summen einfach geordneter Gruppen. Czechoslovak M. J. 8 (83), 1958, 22-53.
[7] F. Šik: Struktur und Realisierungen von Verbandsgruppen. Memorias Fac. Cie. Univ. Habana vol. 1, ser. mat., I, II No 3 (1964) 1-29, III No 4 (1966), 1-20, IV No 7 (1968), 19-44.
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