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Title: Prime selectors and torsion classes of lattice ordered groups (English)
Author: Jakubík, Ján
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 31
Issue: 2
Year: 1981
Pages: 325-337
Summary lang: Russian
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Category: math
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MSC: 06F15
idZBL: Zbl 0473.06012
idMR: MR611086
DOI: 10.21136/CMJ.1981.101748
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Date available: 2008-06-09T14:44:17Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101748
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Reference: [1] P. Conrad: Lattice ordered groups.Tulane University, 1970. Zbl 0258.06011
Reference: [2] P. Conrad: Some structure theorems for lattice ordered groups.Trans. Amer. Soc. 99 (1961), 1-29. Zbl 0099.25401, MR 0121405, 10.1090/S0002-9947-1961-0121405-2
Reference: [3] P. Conrad: Torsion radicals of lattice ordered groups.Symposia Math. 31 (1977), 479-513, Zbl 0372.06011, MR 0465969
Reference: [4] Л. Фукс: Частично упорядоченные алгебраические системы.Москва 1965. Zbl 1099.01519
Reference: [5] С. Holland: Varieties of l-groups are torsion classes.Czech. Math. J. 29 (1979), 11-12. Zbl 0432.06011, MR 0518135
Reference: [6] С. Holland J. Martinez: Accessibility of torsion classes.Algebra universalis 9 (1979), 199-206. MR 0523933, 10.1007/BF02488030
Reference: [7] J. Jakbík: Distributivity in lattice ordered groups.Czech. Math. J. 22 (1972), 108-125. MR 0325487
Reference: [8] J. Jakubík: Products of torsion classes of lattice ordered groups.Czech. Math. J. 25 (1975), 576-585. MR 0387152
Reference: [9] J. Jakubík: Radical classes and radical mappings of lattice ordered groups.Symposia Math. 31 (1977), 451-477. MR 0491397
Reference: [10] J. Jakubík: Products of radical classes of lattice ordered groups.Acta Math. Univ. Comen. 39 (1980), 31-34. MR 0619260
Reference: [11] J. Jakubík: Torsion radicals of lattice ordered groups.Czech. Math. J. (to appear). MR 0669776
Reference: [12] J. Jakubík: On value selectors and torsion classes of lattice ordered groups.Czech. Math. J. 31 (1981), 306-313. MR 0611083
Reference: [13] J. Martinez: Torsion theory for lattice ordered groups.Czech. Math. J. 25 (1975), 284-299. Zbl 0321.06020, MR 0389705
Reference: [14] J. Martinez: Torsion theory for lattice ordered groups. Part II: Homogeneous l-groups.Czech. Math. J. 26 (1976), 93-100. MR 0389706
Reference: [15] J. Martinez: Is the lattice of torsion classes algebraic?.Proc. Amer. Math. Soc. 63 (1977), 9-14. Zbl 0376.06019, MR 0552652, 10.1090/S0002-9939-1977-0552652-0
Reference: [16] J. Martinez: Prime selectors in lattice ordered groups.Czech. Math. J. (to appear). Zbl 0504.06012, MR 0611076
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