Convergences and complete distributivity of lattice ordered groups

Ján Jakubík

Mathematica Slovaca (1988)

  • Volume: 38, Issue: 3, page 269-272
  • ISSN: 0232-0525

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Jakubík, Ján. "Convergences and complete distributivity of lattice ordered groups." Mathematica Slovaca 38.3 (1988): 269-272. <http://eudml.org/doc/32186>.

@article{Jakubík1988,
author = {Jakubík, Ján},
journal = {Mathematica Slovaca},
keywords = {lattice ordered group; convergence of sequences},
language = {eng},
number = {3},
pages = {269-272},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Convergences and complete distributivity of lattice ordered groups},
url = {http://eudml.org/doc/32186},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Jakubík, Ján
TI - Convergences and complete distributivity of lattice ordered groups
JO - Mathematica Slovaca
PY - 1988
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 38
IS - 3
SP - 269
EP - 272
LA - eng
KW - lattice ordered group; convergence of sequences
UR - http://eudml.org/doc/32186
ER -

References

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  1. CONRAD P., Lattice Ordered Groups, Tulane University, 1970. (1970) Zbl0258.06011
  2. EVERETT C. J., ULAM S., On ordered groups, Trans. Amer. Math. Soc. 37, 1945, 208-216. (1945) Zbl0061.03406MR0012285
  3. HARMINC M., Sequential convergences on abelian lattice-ordered groups, Convergence Structures 1984. Mathematical Research, Band 24, Akademie-Verlag, Berlin; 1985, 153-158. (1984) MR0835480
  4. HARMINC M., The cardinality of the system of all sequential convergences on an abelian lattice ordered group, Czechoslov. Math. J. 37, 1987, 533-546. (1987) MR0913986
  5. HARMINC M., Convergences on lattice ordered groups, Dissertation, Math. Inst. Slovak Acad. Sci., 1986. (In Slovak.) (1986) 
  6. JAKUBÍK J., Distributivity in lattice ordered groups, Czech. Math. J. 22, 1977, 108-125. (1977) MR0325487
  7. KOПЫTOB B. M., Peшeтoчнo yпopядoчeнныe гpyппы, Mocквa 1984. (1984) 
  8. WEINBERG E. C., Completely distributive lattice-ordered groups, Pacif. J. Math. 12, 1962, 1131-1148. (1962) Zbl0111.24301MR0147549

Citations in EuDML Documents

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  1. Ján Jakubík, Lattice ordered groups having a largest convergence
  2. Matúš Harminc, Sequential convergences on lattice ordered groups
  3. Ján Jakubík, Sequential convergences in Boolean algebras
  4. Ján Jakubík, Convergences and higher degrees of distributivity of lattice ordered groups and of Boolean algebras
  5. Ján Jakubík, Principal convergences on lattice ordered groups
  6. Ján Jakubík, Sequential convergences on M V -algebras
  7. Matúš Harminc, Ján Jakubík, Maximal convergences and minimal proper convergences in ℓ -groups
  8. Ján Jakubík, On some types of kernels of a convergence l -group
  9. Ján Jakubík, Sequential convergences on free lattice ordered groups
  10. Ján Jakubík, Sequential convergences in lattices

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