On completions of linearly ordered groups

Ján Jakubík

Časopis pro pěstování matematiky (1990)

  • Volume: 115, Issue: 3, page 278-282
  • ISSN: 0528-2195

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Jakubík, Ján. "On completions of linearly ordered groups." Časopis pro pěstování matematiky 115.3 (1990): 278-282. <http://eudml.org/doc/21772>.

@article{Jakubík1990,
author = {Jakubík, Ján},
journal = {Časopis pro pěstování matematiky},
keywords = {linearly ordered group; lattice-ordered group; Dedekind-MacNeille completion},
language = {eng},
number = {3},
pages = {278-282},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {On completions of linearly ordered groups},
url = {http://eudml.org/doc/21772},
volume = {115},
year = {1990},
}

TY - JOUR
AU - Jakubík, Ján
TI - On completions of linearly ordered groups
JO - Časopis pro pěstování matematiky
PY - 1990
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 115
IS - 3
SP - 278
EP - 282
LA - eng
KW - linearly ordered group; lattice-ordered group; Dedekind-MacNeille completion
UR - http://eudml.org/doc/21772
ER -

References

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  1. C. Birkhoff, Lattice theory, third edition, Pгovidence 1967. (1967) 
  2. Š. Černák, On the maximal Dedekind completion of a lattice ordered group, Math. Slovaca 29(1979), 305-313. (1979) MR0561629
  3. C. J. Everett, Sequence completion of lattice modules, Duke Math. J. 11 (1944), 109-119. (1944) MR0009592
  4. L. Fuchs, Partially ordered algebraic systems, Oxford 1963. (1963) Zbl0137.02001MR0171864
  5. A. W. Hales, On the non-existence of free complete Boolean algebras, Fundam. Math. 54 (1964), 45-66. (1964) Zbl0119.26003MR0163863
  6. J. Jakubík, Maximal Dedekind completion of an abelian lattice ordered group, Czechoslovak Math. Ј. 28 (1978), 611-631. (1978) MR0506435
  7. M. Jakubíková, On the nonexistence of free complete vector lattices, Časopis pӗst. mat. 99 (1974), 142-146. (1974) MR0360404
  8. M. Jakubíková, On complete lattice ordered groups with two generators I, II, Math. Slovaca 28, 1978, 389-406; 29, 1979, 271-287. (1978) MR0534818
  9. M. Jakubiková, Completions of lattice ordered groups, Math. Slovaca 32 (1982), 127-141. (1982) MR0658246

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