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Title: Convergences on lattice ordered groups with a finite number of disjoint elements (English)
Author: Jakubík, Ján
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 56
Issue: 3
Year: 2006
Pages: 289-299
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Category: math
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MSC: 06F15
idZBL: Zbl 1141.06016
idMR: MR2250080
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Date available: 2009-09-25T14:32:12Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136928
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Reference: [2] FUCHS L.: Partially Ordered Algebraic Systems.Pergamon Press, Oxford, 1963. Zbl 0137.02001, MR 0171864
Reference: [3] HARMINC M.: Sequential convergence on abelian lattice-ordered groups. In: Convergence Structures.1984. Math. Res. 24, Akademie Verlag, Berlin, 1985, pp. 153-158. MR 0835480
Reference: [4] HARMINC M.: The cardinality of the system of all convergences on an abelian lattice ordered group.Czechoslovak Math. J. 37 (1987), 533-546. MR 0913986
Reference: [5] HARMINC M.: Sequential convergences on lattice ordered groups.Czechoslovak Math. J. 39 (1989), 232-238. MR 0992130
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Reference: [8] JAKUBÍK J.: Convergences and complete distributivity of lattice ordered groups.Math. Slovaca 38 (1988), 269-272. Zbl 0662.06005, MR 0977905
Reference: [9] JAKUBÍK J.: On some types of kernels of a convergence l-group.Czechoslovak Math. J. 39 (1989), 239-247. Zbl 0748.06006, MR 0992131
Reference: [10] JAKUBÍK J.: Lattice ordered groups having a largest convergence.Czechoslovak Math. J. 39 (1989), 717-729. Zbl 0713.06009, MR 1018008
Reference: [11] JAKUBÍK J.: Convergences and higher degrees of distributivity of lattice ordered groups and of Boolean algebras.Czechoslovak Math. J. 40 (1990), 453-458. Zbl 0731.06010, MR 1065024
Reference: [12] JAKUBÍK J.: Sequential convergences in l-groups without Urysohn's axiom.Czechoslovak Math. J. 42 (1992), 101-116. Zbl 0770.06008, MR 1152174
Reference: [13] JAKUBÍK J.: Nearly disjoint sequences in convergence l-groups.Math. Bohem. 125 (2000), 139-144. MR 1768802
Reference: [14] JAKUBÍK J.: On iterated limits of subsets of a convergence l-groups.Math. Bohem. 126 (2001), 53-61. MR 1826470
Reference: [15] JAKUBÍK J.: Konvexe Ketten in l-Gruppen.Časopis Pest. Mat. 84 (1959), 53-63. Zbl 0083.01803, MR 0104740
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