Completions of lattice ordered groups

Mária Jakubíková

Mathematica Slovaca (1982)

  • Volume: 32, Issue: 2, page 127-141
  • ISSN: 0139-9918

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Jakubíková, Mária. "Completions of lattice ordered groups." Mathematica Slovaca 32.2 (1982): 127-141. <http://eudml.org/doc/32112>.

@article{Jakubíková1982,
author = {Jakubíková, Mária},
journal = {Mathematica Slovaca},
keywords = {archimedean l-group; complete l-groups; direct product of linearly ordered groups; Dedekind completion},
language = {eng},
number = {2},
pages = {127-141},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Completions of lattice ordered groups},
url = {http://eudml.org/doc/32112},
volume = {32},
year = {1982},
}

TY - JOUR
AU - Jakubíková, Mária
TI - Completions of lattice ordered groups
JO - Mathematica Slovaca
PY - 1982
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 32
IS - 2
SP - 127
EP - 141
LA - eng
KW - archimedean l-group; complete l-groups; direct product of linearly ordered groups; Dedekind completion
UR - http://eudml.org/doc/32112
ER -

References

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  1. BERNAU J. S., Orthogonal hull of an arbitrary lattice group, Journ. Austr. Math. Soc. 19, 1975, 263-289. (1975) MR0384640
  2. CONRAD P., Lattice ordered groups, Tulane University 1970. (1970) Zbl0258.06011
  3. ФУКС, Л, Частично упорядоченные алгебраические системы, Moskva 1965. (1965) Zbl1099.01519
  4. HALES A. W., On the non-existence of free complete Boolean algebras, Fundam. Math. 54, 1969, 45-66. (1969) MR0163863
  5. JAKUBÍK J., Orthogonal hull of a strongly projectable lattice ordered group, Czech. Math. J. 28, 1978, 484-504. (1978) MR0505957
  6. JAKUBÍKOVÁ M., Über die B-Potenz einer verbandsgeordneten Gruppe, Matem. časopis 23, 1973, 231-239. (1973) MR0337718
  7. JAKUBÍKOVÁ M., The nonexistence of free complete vector lattices, Čas. pěst. mat. 99, 1974, 142-146. (1974) Zbl0279.06015MR0360404
  8. JAKUBÍKOVÁ M., Totally inhomogeneous lattice ordered groups, Czech. Math. J. 28, 1978, 594-610. (1978) Zbl0432.06013MR0498316
  9. KOLIBIAR M., Extermal extensions of ordered sets to semilattices, Coll. Math. Soc. J. Bolyai 14, Lattice theory, 1978, 207-214. (1978) MR0437406
  10. ШИК O., K теории частично упорядоченных групп, Czech. Math. J. 6, 1965, 1-25. (1965) Zbl0258.62024
  11. ŠIK, F, Über subdirekte Summen geordneter Gruppen, Czech. Math. J. 10, 1960, 400-424. (1960) MR0123626
  12. ВУЛИХ Б. З., Введение в теорию полуупорядоченных пространств, Mocквa 1961. (1961) Zbl1160.68305

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