On the maximal Dedekind completion of a lattice ordered group

Štefan Černák

Mathematica Slovaca (1979)

  • Volume: 29, Issue: 3, page 305-313
  • ISSN: 0232-0525

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Černák, Štefan. "On the maximal Dedekind completion of a lattice ordered group." Mathematica Slovaca 29.3 (1979): 305-313. <http://eudml.org/doc/34065>.

@article{Černák1979,
author = {Černák, Štefan},
journal = {Mathematica Slovaca},
keywords = {partially ordered group; Dedekind cuts; lattice ordered group; mixed product decompositions},
language = {eng},
number = {3},
pages = {305-313},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the maximal Dedekind completion of a lattice ordered group},
url = {http://eudml.org/doc/34065},
volume = {29},
year = {1979},
}

TY - JOUR
AU - Černák, Štefan
TI - On the maximal Dedekind completion of a lattice ordered group
JO - Mathematica Slovaca
PY - 1979
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 29
IS - 3
SP - 305
EP - 313
LA - eng
KW - partially ordered group; Dedekind cuts; lattice ordered group; mixed product decompositions
UR - http://eudml.org/doc/34065
ER -

References

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  1. BIRKHOFF G., Lattice Theory, third edition, Providence 1967. (1967) Zbl0153.02501MR0227053
  2. CONRAD P., Representation of paгtially oгdered abelian groups of real valued functions, Acta math., 116, 1966, 199-221. (1966) MR0201536
  3. ČERNÁK Š., Cantor exteпsion of a lexicographic product of l-groups, Mat. Čas., 23, 1973, 97-102. (1973) MR0337721
  4. ČERNÁK Š., Cantor extension of a mixed product of directed groups, Math. slov., 26, 1976, 103-114. (1976) Zbl0324.06008MR0460208
  5. EVERETT C. J., Sequence completion of lattice modules, Duke Math. J., 11, 1944, 109-119. (1944) MR0009592
  6. ФУKC Л., Чacтичнo ynopядoчeнныe aлгeбpaичecкиe cиcтeмы, Mocквa 1965. (1965) 
  7. JAKUBÍK J., Archimedean kernel of a lattice ordered group, (to appear). Zbl0384.06021MR0463070
  8. JAKUBÍK J., Maximal Dedekind completion of an abelian lattice ordered group, (to appeaг). Zbl0432.06012

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