Cardinality of the system of all sequential convergences on an Abelian lattice ordered group

Matúš Harminc

Czechoslovak Mathematical Journal (1987)

  • Volume: 37, Issue: 4, page 533-546
  • ISSN: 0011-4642

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Harminc, Matúš. "Cardinality of the system of all sequential convergences on an Abelian lattice ordered group." Czechoslovak Mathematical Journal 37.4 (1987): 533-546. <http://eudml.org/doc/13664>.

@article{Harminc1987,
author = {Harminc, Matúš},
journal = {Czechoslovak Mathematical Journal},
keywords = {finite breadth; convergence structures; abelian lattice-ordered group},
language = {eng},
number = {4},
pages = {533-546},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Cardinality of the system of all sequential convergences on an Abelian lattice ordered group},
url = {http://eudml.org/doc/13664},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Harminc, Matúš
TI - Cardinality of the system of all sequential convergences on an Abelian lattice ordered group
JO - Czechoslovak Mathematical Journal
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 4
SP - 533
EP - 546
LA - eng
KW - finite breadth; convergence structures; abelian lattice-ordered group
UR - http://eudml.org/doc/13664
ER -

References

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  1. G. Birkhoff, Lattice Theory, Third ed., Amer. Math. Soc, Providence 1967. (1967) Zbl0153.02501MR0227053
  2. P. Conrad, Lattice ordered groups, Tulane University 1970. (1970) Zbl0258.06011
  3. E. Čech В. Pospíšil, Sur les caractères des points dans les espaces S, Publ. Fac. Sci. Univ. Masaryk, No. 258, (1938). (1938) 
  4. C. J. Everett S. Ulam, 10.1090/S0002-9947-1945-0012285-5, Trans. Amer. Math. Soc, 57 (1945), 208-216. (1945) MR0012285DOI10.1090/S0002-9947-1945-0012285-5
  5. L. Fuchs, Partially ordered algebraic systems, Pergamon Press, Oxford 1963. (1963) Zbl0137.02001MR0171864
  6. M. Harminc, Sequential convergences on abelian lattice-ordered groups, Convergence Structures 1984 (Proc on Convergence, Bechyně 1984). Akademie-Verlag Berlin, 1985, 153-158. (1984) MR0835480
  7. F. Hausdorff, Grundzüge der Mengenlehre, Veit & Co., Leipzig 1914. (1914) MR0031025
  8. T. Jech, Set Theory, Academic Press, New York 1978. (1978) Zbl0419.03028MR0506523
  9. P. Mikusiňski, Problems posed at the conference, Proc Conference on Convergence, Szczyrk 1979, Katowice 1980, 110-112. (1979) MR0639325
  10. J. Novák, On convergence groups, Czechoslovak Math. J., 20 (1970), 357-374. (1970) MR0263973
  11. B. Šmarda, Topologies in l-groups, Archivum Math. (Brno), T. 3 (1967), 69-81. (1967) MR0223283
  12. B. Šmarda, Some types of topological 1-groups, Publ. Fac. Sci. Univ. J. E. Purkyně (Brno), 507 (1969), 341-352. (1969) MR0272940

Citations in EuDML Documents

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

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