Maximal Dedekind completion of an abelian lattice-ordered group

Ján Jakubík

Czechoslovak Mathematical Journal (1978)

  • Volume: 28, Issue: 4, page 611-631
  • ISSN: 0011-4642

How to cite

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Jakubík, Ján. "Maximal Dedekind completion of an abelian lattice-ordered group." Czechoslovak Mathematical Journal 28.4 (1978): 611-631. <http://eudml.org/doc/13091>.

@article{Jakubík1978,
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {abelian lattice ordered group; Dedekind completion; M-complete l-group; radical class},
language = {eng},
number = {4},
pages = {611-631},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Maximal Dedekind completion of an abelian lattice-ordered group},
url = {http://eudml.org/doc/13091},
volume = {28},
year = {1978},
}

TY - JOUR
AU - Jakubík, Ján
TI - Maximal Dedekind completion of an abelian lattice-ordered group
JO - Czechoslovak Mathematical Journal
PY - 1978
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 28
IS - 4
SP - 611
EP - 631
LA - eng
KW - abelian lattice ordered group; Dedekind completion; M-complete l-group; radical class
UR - http://eudml.org/doc/13091
ER -

References

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  1. G. Birkhoff, Lattice theory, third edition. Providence 1967. (1967) Zbl0153.02501MR0227053
  2. P. Conrad, Lattice ordered groups, Tulane University 1970. (1970) Zbl0258.06011
  3. P. Conrad, 10.1090/S0002-9947-1961-0121405-2, Trans. Amer. Math. Soc. 99 (1961), 212-240. (1961) Zbl0099.25401MR0121405DOI10.1090/S0002-9947-1961-0121405-2
  4. Š. Černák, Completely subdirect products of lattice ordered groups, Acta fac. rer. nat. Univ. Comen., Mathem., 1971, 121-128. (1971) MR0313153
  5. С. J. Everett, 10.1215/S0012-7094-44-01112-9, Duke Math. J. 11 (1944), 109-119. (1944) Zbl0060.06301MR0009592DOI10.1215/S0012-7094-44-01112-9
  6. Л. Фукс, Частично упорядоченные алгебраические системы, Москва 1965. (1965) Zbl1099.01519
  7. J. Jakubík, Radical classes and radical mappings of lattice ordered groups, Symposia mathem. 31 (1977), 451-477. (1977) MR0491397
  8. J. Jakubík, Archimedean kernel of a lattice ordered group, Czech. Math. J. 28 (1978), 140-154. (1978) MR0463070
  9. J. Jakubík, Generalized Dedekind completion of a lattice ordered group, Czech. Math. J. 25 (1978), 294-311. (1978) MR0552650
  10. F. Šik, Über subdirekte Summen geordneter Gruppen, Czech. Math. J. 10 (1960), 400-424. (1960) MR0123626

Citations in EuDML Documents

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  1. Ján Jakubík, Lateral and Dedekind completions of strongly projectable lattice ordered groups
  2. Ján Jakubík, Distinguished completion of a direct product of lattice ordered groups
  3. Ján Jakubík, On completions of linearly ordered groups
  4. Štefan Černák, Maximal Dedekind completion of a half lattice ordered group
  5. Ján Jakubík, Maximal completion of a pseudo MV-algebra
  6. Štefan Černák, Ján Jakubík, Completion of a cyclically ordered group
  7. Ján Jakubík, Complete generators and maximal completions of M V -algebras
  8. Ján Jakubík, Projectability and splitting property of lattice ordered groups

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