Principal convergences on lattice ordered groups

Ján Jakubík

Czechoslovak Mathematical Journal (1996)

  • Volume: 46, Issue: 4, page 721-732
  • ISSN: 0011-4642

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Jakubík, Ján. "Principal convergences on lattice ordered groups." Czechoslovak Mathematical Journal 46.4 (1996): 721-732. <http://eudml.org/doc/30340>.

@article{Jakubík1996,
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {Abelian ordered group; sequential convergence; principal convergence},
language = {eng},
number = {4},
pages = {721-732},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Principal convergences on lattice ordered groups},
url = {http://eudml.org/doc/30340},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Jakubík, Ján
TI - Principal convergences on lattice ordered groups
JO - Czechoslovak Mathematical Journal
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 46
IS - 4
SP - 721
EP - 732
LA - eng
KW - Abelian ordered group; sequential convergence; principal convergence
UR - http://eudml.org/doc/30340
ER -

References

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  1. Sequential convergences on abelian lattice-ordered groups, Convergence structures, 1984, Mathematical Research, Band 24, Akademie Verlag, Berlin, 1985, pp. 153–158. (1985) Zbl0581.06009MR0835480
  2. The cardinality of the system of all sequential convergences on an abelian lattice ordered group, Czechoslov. Math. J. 37 (1987), 553–546. (1987) MR0913986
  3. Sequential convergences on lattice ordered groups, Czechoslov. Math. J. 39 (1989), 232–238. (1989) MR0992130
  4. Maximal convergences and minimal proper convergences in -groups, Czechoslov. Math. J. 39 (1989), 631–640. (1989) MR1017998
  5. 10.2307/1969532, Ann. of Math 34 (1951), 315–318. (1951) MR0043067DOI10.2307/1969532
  6. Convergences and complete distributivity of lattice ordered groups, Math. Slovaca 38 (1988), 269–272. (1988) MR0977905
  7. Lattice ordered groups having a largest convergence, Czechoslov. Math. J. 39 (1989), 717–729. (1989) MR1018008
  8. Convergences and higher degrees of distributivity in lattice ordered groups and Boolean algebras, Czechoslov. Math. J. 40 (1990), 453–458. (1990) MR1065024
  9. Sequential convergences on free lattice ordered groups, Math. Bohemica 117 (1992), 48–54. (1992) MR1154054

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