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

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