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Torsion radicals of lattice ordered groups. (English) Zbl 0516.06015

##### MSC:
 06F15 Ordered groups 20F60 Ordered groups (group-theoretic aspects) 20E10 Quasivarieties and varieties of groups
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##### References:
 [1] G. Birkhoff: Lattice theory. Third Edition, Providence 1967. · Zbl 0153.02501 [2] P. Conrad: Lattice ordered groups. Tulane University, 1970. · Zbl 0258.06011 [3] P. Conrad: Torsion radicals of lattice ordered groups. Symposia math. 21 (1977), 480-513. · Zbl 0372.06011 [4] Л. Фукс: Частично упорядоченные алгебраические системы. Москва 1965. · Zbl 1099.01519 [5] P. Holland: Varieties of 1-group are torsion classes. Czech. Math. J. 29 (1979), 11-12. · Zbl 0432.06011 [6] J. Jakubík: Über Verbandsgruppen mit zwei Erzeugenden. Czech. Mat. J. 14 (1964), 444-454. · Zbl 0135.06202 [7] J. Jakubík: Cardinal properties of lattice ordered groups. Fund. Math. 74 (1972), 85 - 98. · Zbl 0259.06015 [8] .J. Jakubík: Products of torsion classes of lattice ordered groups. Czech. Math. J. 25 (1975), 576-585. · Zbl 0333.06007 [9] J. Jakubík: Radical mappings and radical classes of lattice ordered groups. Symposia math. 21 (1977), 451-477. [10] J. Jakubík: Products of radical classes of lattice ordered groups. Acta fac. rer. nat. Univ. Comen. Mathem. 39 (1980), 31-42. [11] М. Якубикова: О некоторых подгруппаX $$l$$-rpunn. Matem. časop. 12 (1962), 97-107. · Zbl 0271.28006 [12] J. Martinez: Torsion theory for lattice ordered groups. Czech. Math. J. 25 (1975), 284-299. · Zbl 0321.06020 [13] J. Martinez: Torsion theory for lattice ordered groups. Part II: Homogeneous l-groups. Czech. Math. J. 26 (1976), 93-100. · Zbl 0331.06009
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