Sequential convergences on lattice ordered groups

Matúš Harminc

Czechoslovak Mathematical Journal (1989)

  • Volume: 39, Issue: 2, page 232-238
  • ISSN: 0011-4642

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Harminc, Matúš. "Sequential convergences on lattice ordered groups." Czechoslovak Mathematical Journal 39.2 (1989): 232-238. <http://eudml.org/doc/13773>.

@article{Harminc1989,
author = {Harminc, Matúš},
journal = {Czechoslovak Mathematical Journal},
keywords = {sequential convergences; lattice ordered groups; Brouwerian lattice},
language = {eng},
number = {2},
pages = {232-238},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Sequential convergences on lattice ordered groups},
url = {http://eudml.org/doc/13773},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Harminc, Matúš
TI - Sequential convergences on lattice ordered groups
JO - Czechoslovak Mathematical Journal
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 2
SP - 232
EP - 238
LA - eng
KW - sequential convergences; lattice ordered groups; Brouwerian lattice
UR - http://eudml.org/doc/13773
ER -

References

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  1. A. Bigard K. Keimel S. Wolfenstein, Groupes et Anneaux Réticulés, Springer-Verlag, Berlin-Heidelberg-New York 1977. (1977) MR0552653
  2. G. Birkhoff, Lattice Theory, Third ed., Amer. Math. Soc., Providence 1967. (1967) Zbl0153.02501MR0227053
  3. 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
  4. R. Frič V. Koutník, Sequential convergence since Kanpur conference. General Topology and its Relations to Modern Analysis and Algebra V, (Proc. Fifth Prague Topological Sympos., 1981), Berlin 1982, 193-205. (1981) MR0698413
  5. R. Frič V. Koutník, Recent development in sequential convergence. Convergence Structures and Applications II, Berlin 1984, 37-46. (1984) MR0790150
  6. L. Fuchs, Partially ordered algebraic systems, Pergamon Press, Oxford 1963. (1963) Zbl0137.02001MR0171864
  7. M. Harminc, Sequential convergences on abelian lattice-ordered groups, Convergence Structures 1984 (Proc. Conf. on Convergence, Bechyně 1984). Akademie-Verlag Berlin, 1985, 153-158. (1984) MR0835480
  8. M. Harminc, The cardinality of the system of all sequential convergences on an abelian lattice ordered group, Czechoslovak Math. J. 37, 1987, 533-546. (1987) MR0913986
  9. M. Harminc, Convergences on lattice ordered groups, Dissertation. Math. Inst. Slovak Acad. Sci., 1986. (In Slovak.) (1986) 
  10. J. Jakubík, Convergences and complete distributivity of lattice ordered groups, Math. Slovaca 38, 1988, 269- 272. (1988) MR0977905
  11. J. Novák, On convergence groups, Czechoslovak Math. J. 20, 1970, 357-374. (1970) MR0263973
  12. F. Papangelou, 10.1007/BF01344076, Math. Ann. 155, 1964, 81-107. (1964) MR0174498DOI10.1007/BF01344076

Citations in EuDML Documents

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  1. Ján Jakubík, Lattice ordered groups having a largest convergence
  2. Ján Jakubík, Principal convergences on lattice ordered groups
  3. Ján Jakubík, Convergences and higher degrees of distributivity of lattice ordered groups and of Boolean algebras
  4. Ján Jakubík, Sequential convergences on pseudo MV-algebras
  5. Ján Jakubík, Sequential convergences in -groups without Urysohn’s axiom
  6. Ján Jakubík, Sequential convergences on M V -algebras
  7. Ján Jakubík, On some types of kernels of a convergence l -group
  8. Matúš Harminc, Ján Jakubík, Maximal convergences and minimal proper convergences in -groups
  9. Ján Jakubík, Sequential convergences in lattices
  10. Ján Jakubík, Sequential convergences on free lattice ordered groups

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