Cantor-Bernstein theorem for lattice ordered groups

Ján Jakubík

Czechoslovak Mathematical Journal (1972)

  • Volume: 22, Issue: 1, page 159-175
  • ISSN: 0011-4642

How to cite

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Jakubík, Ján. "Cantor-Bernstein theorem for lattice ordered groups." Czechoslovak Mathematical Journal 22.1 (1972): 159-175. <http://eudml.org/doc/12644>.

@article{Jakubík1972,
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {1},
pages = {159-175},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Cantor-Bernstein theorem for lattice ordered groups},
url = {http://eudml.org/doc/12644},
volume = {22},
year = {1972},
}

TY - JOUR
AU - Jakubík, Ján
TI - Cantor-Bernstein theorem for lattice ordered groups
JO - Czechoslovak Mathematical Journal
PY - 1972
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 22
IS - 1
SP - 159
EP - 175
LA - eng
UR - http://eudml.org/doc/12644
ER -

References

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  1. G. Birkhoff, Lattice theory, 2nd. edition. Providence, 1948, (1948) Zbl0033.10103MR0029876
  2. S. J. Bernau, Orthocompletion of lattice ordered groups, Proc. London Math. Soc. 16 (1966), 107-130. (1966) MR0188113
  3. P. Conrad, The lateral completion of a lattice ordered group, Proc. London Math. Soc. 19 (1969), 444-480. (1969) Zbl0182.04803MR0244125
  4. P. Conrad D. McAlister, 10.1017/S1446788700005760, Journ. Austral. Math. Soc. 9 (1969), 182-208. (1969) MR0249340DOI10.1017/S1446788700005760
  5. Л. Фукс, Частично упорядоченные алгебраические системы, Москва 1965. (1965) Zbl1099.01519
  6. Я. Якубик, Прямые разложения частично упорядоченных групп, Чех. мат. ж. 10 (1960), 231-243; 11 (1961), 490-515. (1960) Zbl1004.90500MR0116057
  7. Я. Якубик, Представления и расширения !-групп, Чех. мат. ж. 13 (1963). 267-283. (1963) Zbl1214.14039MR0171865
  8. Л. В. Канторович Б. 3. Byлих Л. Г. Пинскер, Функипональный анализ в полуупорядоченных пространствах, Москва 1950. (1950) 
  9. А. Г. Пинскер, Расширение полуупорядоченных групп и пространств, Уч. зап. Ленинград. гос. пед. инст. им. Герцена 86 (1949), 235-284. (1949) Zbl1152.51302
  10. Ф. Шик, К теории структурно упорядоченных групп, Чех. мат. ж. 6 (1956), 1-25. (1956) Zbl0995.90522

Citations in EuDML Documents

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  1. Ján Jakubík, On complete lattice ordered groups with strong units
  2. Ján Jakubík, On σ -complete lattice ordered groups
  3. Ján Jakubík, Lattice ordered groups with cyclic linearly ordered subgroups
  4. Ján Jakubík, On orthogonally σ -complete lattice ordered groups
  5. Ján Jakubík, Cantor-Bernstein theorem for M V -algebras
  6. Ján Jakubík, Cantor-Bernstein theorem for lattices
  7. Mária Jakubíková, Totally inhomogeneous lattice ordered groups
  8. Mária Jakubíková, On complete lattice ordered groups with two generators. I.
  9. Mária Jakubíková, On complete lattice ordered groups with two generators. II.
  10. Ján Jakubík, Convex mappings of archimedean MV-algebras

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