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Compactly generated lattice-order groups. (English) Zbl 0182.36202


Keywords:

group theory
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References:

[1] Bernau, S. J.: Orthocompletions of lattice groups. Proc. Lond. Math. Soc.16, 107-130 (1966). · Zbl 0136.29103 · doi:10.1112/plms/s3-16.1.107
[2] Byrd, R., and T. Loyd: Closed subgroups and complete distributivity in lattice-ordered groups. Math. Z.101, 123-130 (1967). · Zbl 0178.02902 · doi:10.1007/BF01136029
[3] Conrad, P.: Some structure theorems for lattice-ordered groups. Trans. Am. Math. Soc.99, 212-240 (1961). · Zbl 0099.25401 · doi:10.1090/S0002-9947-1961-0121405-2
[4] ?: The lattice of all convexl-subgroups of a lattice-ordered groups. Czech. Math. Journ.15 (90), 101-123 (1965). · Zbl 0135.06301
[5] Conrad, P.: Lex-subgroups of lattice-ordered groups (to appear). · Zbl 0155.05902
[6] Conrad, P., and D. McAlister: The completion of a lattice-ordered group (to appear). · Zbl 0172.31601
[7] Fuchs: Teilweise Geordnete Algebraische Strukturen. Budapest: Akademiai Kiade 1966. · Zbl 0154.00708
[8] Jakubik, J.: Kompakt erzeugte Verbandsgruppen. Math. Nachrichten30, 193-201 (1965). · Zbl 0137.25703 · doi:10.1002/mana.19650300306
[9] Johnson, D., and J. Kist: Prime ideals in vector lattices. Can. J. Math.14, 517-528 (1962). · Zbl 0103.33003 · doi:10.4153/CJM-1962-043-3
[10] Sik, F.: Kompakt erzeugte vollständigel-Gruppen. Bull. Inst. Politehnic din. Iasi8, 5-8 (1962).
[11] Weinberg, E.: Completely distributive lattice-ordered groups. Pac. J. Math.12, 1131-1137 (1962). · Zbl 0111.24301
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