Lateral and Dedekind completions of strongly projectable lattice ordered groups

Ján Jakubík

Czechoslovak Mathematical Journal (1997)

  • Volume: 47, Issue: 3, page 511-523
  • ISSN: 0011-4642

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Jakubík, Ján. "Lateral and Dedekind completions of strongly projectable lattice ordered groups." Czechoslovak Mathematical Journal 47.3 (1997): 511-523. <http://eudml.org/doc/30381>.

@article{Jakubík1997,
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {lattice ordered group; lateral completion; Dedekind completion; strong projectability},
language = {eng},
number = {3},
pages = {511-523},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Lateral and Dedekind completions of strongly projectable lattice ordered groups},
url = {http://eudml.org/doc/30381},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Jakubík, Ján
TI - Lateral and Dedekind completions of strongly projectable lattice ordered groups
JO - Czechoslovak Mathematical Journal
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 3
SP - 511
EP - 523
LA - eng
KW - lattice ordered group; lateral completion; Dedekind completion; strong projectability
UR - http://eudml.org/doc/30381
ER -

References

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  2. 10.1112/jlms/s2-12.3.320, J. London Math. Soc. 12 (1976), 320–322. (1976) Zbl0333.06008MR0401579DOI10.1112/jlms/s2-12.3.320
  3. 10.1112/jlms/s2-1.1.358, J. London Math. Soc. 1 (1969), 358–362. (1969) MR0249339DOI10.1112/jlms/s2-1.1.358
  4. Lateral completion of lattice ordered groups, Proc. London Math. Soc. 19 (1969), 444–480. (1969) MR0244125
  5. The essential closure of an archimedean lattice group, Duke Math. J. 38 (1971), 151–160. (1971) MR0277457
  6. 10.1215/S0012-7094-44-01112-9, Duke Math. J. 11 (1944), 109–119. (1944) Zbl0060.06301MR0009592DOI10.1215/S0012-7094-44-01112-9
  7. Partially ordered algebraic systems, Pergamon Press, Oxford-London-New York-Paris, 1963. (1963) Zbl0137.02001MR0171864
  8. Representations and extensions of ℓ -groups, Czechoslovak Math. J. 13 (1963), 267–283. (Russian) (1963) 
  9. Orthogonal hull of a strongly projectable lattice ordered group, Czechoslovak Math. J. 28 (1978), 484–504. (1978) MR0505957
  10. Maximal Dedekind completion of an abelian lattice ordered group, Czechoslovak Math. J. 28 (1978), 611–631. (1978) MR0506435
  11. Modern spectral theory, Tokyo, 1950. (1950) Zbl0041.23402MR0038564
  12. Extended semiordered groups and spaces, Uchen. zapiski Leningrad. Gos. Ped. Inst. 86 (1949), 236–365. (Russian) (1949) 

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