All ordered sets having amenable lattice orders

Chawewan Ratanaprasert

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 1, page 1-11
  • ISSN: 0139-9918

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Ratanaprasert, Chawewan. "All ordered sets having amenable lattice orders." Mathematica Slovaca 52.1 (2002): 1-11. <http://eudml.org/doc/31932>.

@article{Ratanaprasert2002,
author = {Ratanaprasert, Chawewan},
journal = {Mathematica Slovaca},
keywords = {compatible ordering; amenable lattice order; subdirect representation},
language = {eng},
number = {1},
pages = {1-11},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {All ordered sets having amenable lattice orders},
url = {http://eudml.org/doc/31932},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Ratanaprasert, Chawewan
TI - All ordered sets having amenable lattice orders
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 1
SP - 1
EP - 11
LA - eng
KW - compatible ordering; amenable lattice order; subdirect representation
UR - http://eudml.org/doc/31932
ER -

References

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  1. BIRKHOFF G., Lattice Theory, (3rd ed.), Amer. Math. Soc, Providence, 1967. (1967) Zbl0153.02501MR0227053
  2. CZÉDLI G., HUHN A. P., SZABÓ L., On compatible ordering of lattices, In: Contributions to Lattice Theory (Szeged, 1980). Colloq. Math. Soc. János Bolyai 33, North-Holland, Amsterdam-New York, 1980, pp. 87-99. (1980) MR0724264
  3. GRÄTZER G., General Lattice Theory, Akademic-Verlag, Berlin, 1978. (1978) MR0504338
  4. JAKUBIK J., KOLIBIAR M., On some properties of pairs of lattices, Czechoslovak Math. J. 4 (1954), 1-27. (Russian) (1954) MR0065529
  5. KOLIBIAR M., Compatible ordering in semilattices, In: Contributions to Genereal Algebra 2 (Klagenfurt, 1982), Holder-Pichler-Tempsky, Vienna, 1983, pp. 215-220. (1982) MR0721660
  6. KOLIBIAR M., Interval, convex sublattices and subdirect representations of lattices, In: Universal Algebra and Applications. Banach Center Publ. 9, Polish Acad Sci., Warsaw, 1982, pp. 335-339. (1982) MR0738826
  7. RATANAPRASERT C., Compatible orders of semilattices, Tatra Mt. Math. Publ 5 (1995), 177-187. (1995) Zbl0854.06005MR1384807
  8. ROSENBERG I. G., SCHWEIGERT D., Compatible ordering and tolerances of lattices, In: Orders Description and Roles (L'Arresle, 1982). North-Holland Math. Stud. 99, North-Holland, Amsterdam-New York, 1984, pp. 119-150. (1982) MR0779849
  9. SZABÓ L., Characterization of compatible quasiorderings of lattice ordered algebras, Preprint. Bolyai Inst. Szeged 1985. (1985) MR0773722

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