Convergences on lattice ordered groups with a finite number of disjoint elements

Ján Jakubík

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 3, page 289-299
  • ISSN: 0232-0525

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Jakubík, Ján. "Convergences on lattice ordered groups with a finite number of disjoint elements." Mathematica Slovaca 56.3 (2006): 289-299. <http://eudml.org/doc/34620>.

@article{Jakubík2006,
author = {Jakubík, Ján},
journal = {Mathematica Slovaca},
keywords = {lattice ordered group; sequential convergence; disjoint elements},
language = {eng},
number = {3},
pages = {289-299},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Convergences on lattice ordered groups with a finite number of disjoint elements},
url = {http://eudml.org/doc/34620},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Jakubík, Ján
TI - Convergences on lattice ordered groups with a finite number of disjoint elements
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 3
SP - 289
EP - 299
LA - eng
KW - lattice ordered group; sequential convergence; disjoint elements
UR - http://eudml.org/doc/34620
ER -

References

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  1. CONRAD P., The structure of a lattice-ordered group with a finite number of disjoint elements, Michigan Math. J. 7 (1960), 171-180. (1960) Zbl0103.01501MR0116059
  2. FUCHS L., Partially Ordered Algebraic Systems, Pergamon Press, Oxford, 1963. (1963) Zbl0137.02001MR0171864
  3. HARMINC M., Sequential convergence on abelian lattice-ordered groups. In: Convergence Structures, 1984. Math. Res. 24, Akademie Verlag, Berlin, 1985, pp. 153-158. (1985) MR0835480
  4. HARMINC M., The cardinality of the system of all convergences on an abelian lattice ordered group, Czechoslovak Math. J. 37 (1987), 533-546. (1987) MR0913986
  5. HARMINC M., Sequential convergences on lattice ordered groups, Czechoslovak Math. J. 39 (1989), 232-238. (1989) MR0992130
  6. HARMINC M., Convergences on Lattices Ordered Groups, Dissertation, Math. Inst. Slovak Acad. Sci., 1986. (Slovak) (1986) 
  7. HARMINC M.-JAKUBÍK J., Maximal convergences and minimal proper convergences in l-groups, Czechoslovak Math. J. 39 (1989), 631-640. (1989) MR1017998
  8. JAKUBÍK J., Convergences and complete distributivity of lattice ordered groups, Math. Slovaca 38 (1988), 269-272. (1988) Zbl0662.06005MR0977905
  9. JAKUBÍK J., On some types of kernels of a convergence l-group, Czechoslovak Math. J. 39 (1989), 239-247. (1989) Zbl0748.06006MR0992131
  10. JAKUBÍK J., Lattice ordered groups having a largest convergence, Czechoslovak Math. J. 39 (1989), 717-729. (1989) Zbl0713.06009MR1018008
  11. JAKUBÍK J., Convergences and higher degrees of distributivity of lattice ordered groups and of Boolean algebras, Czechoslovak Math. J. 40 (1990), 453-458. (1990) Zbl0731.06010MR1065024
  12. JAKUBÍK J., Sequential convergences in l-groups without Urysohn's axiom, Czechoslovak Math. J. 42 (1992), 101-116. (1992) Zbl0770.06008MR1152174
  13. JAKUBÍK J., Nearly disjoint sequences in convergence l-groups, Math. Bohem. 125 (2000), 139-144. MR1768802
  14. JAKUBÍK J., On iterated limits of subsets of a convergence l-groups, Math. Bohem. 126 (2001), 53-61. MR1826470
  15. JAKUBÍK J., Konvexe Ketten in l-Gruppen, Časopis Pest. Mat. 84 (1959), 53-63. (1959) Zbl0083.01803MR0104740

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