Title:
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Convergences on lattice ordered groups with a finite number of disjoint elements (English) |
Author:
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Jakubík, Ján |
Language:
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English |
Journal:
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Mathematica Slovaca |
ISSN:
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0139-9918 |
Volume:
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56 |
Issue:
|
3 |
Year:
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2006 |
Pages:
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289-299 |
. |
Category:
|
math |
. |
MSC:
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06F15 |
idZBL:
|
Zbl 1141.06016 |
idMR:
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MR2250080 |
. |
Date available:
|
2009-09-25T14:32:12Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136928 |
. |
Reference:
|
[1] CONRAD P.: The structure of a lattice-ordered group with a finite number of disjoint elements.Michigan Math. J. 7 (1960), 171-180. Zbl 0103.01501, MR 0116059 |
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 |
Reference:
|
[6] HARMINC M.: Convergences on Lattices Ordered Groups.Dissertation, Math. Inst. Slovak Acad. Sci., 1986. (Slovak) |
Reference:
|
[7] HARMINC M.-JAKUBÍK J.: Maximal convergences and minimal proper convergences in l-groups.Czechoslovak Math. J. 39 (1989), 631-640. MR 1017998 |
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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