Concept lattices unify the Birkhoff representation theorems

Jaromír Duda

Mathematica Slovaca (1990)

  • Volume: 40, Issue: 3, page 225-232
  • ISSN: 0232-0525

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Duda, Jaromír. "Concept lattices unify the Birkhoff representation theorems." Mathematica Slovaca 40.3 (1990): 225-232. <http://eudml.org/doc/34302>.

@article{Duda1990,
author = {Duda, Jaromír},
journal = {Mathematica Slovaca},
keywords = {Birkhoff representation theorems; lattice representation; lattice of quasiorders; lattice of equivalences; finite distributive lattices; concept lattices},
language = {eng},
number = {3},
pages = {225-232},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Concept lattices unify the Birkhoff representation theorems},
url = {http://eudml.org/doc/34302},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Duda, Jaromír
TI - Concept lattices unify the Birkhoff representation theorems
JO - Mathematica Slovaca
PY - 1990
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 40
IS - 3
SP - 225
EP - 232
LA - eng
KW - Birkhoff representation theorems; lattice representation; lattice of quasiorders; lattice of equivalences; finite distributive lattices; concept lattices
UR - http://eudml.org/doc/34302
ER -

References

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  1. BIRKHOFF G., Lattice theory, Зrd ed. Providence 1967. (1967) Zbl0153.02501MR0227053
  2. CORNISH W. H., NOOR A. S. A., Standard elements in a nearlattice, Bull. Austгal. Math. Soc. 26, 1982, 185-213. (1982) Zbl0523.06006MR0683652
  3. HARTMANIS J., On the lattice of topologics, Can. Jour. Math. 10, 1958, 547 553. (1958) MR0098358
  4. RIVAL I., Maximal sublattices of finite distributive latticses, Proc. Amer. Math. Soc. 37, 1973, 417-420. (1973) MR0311527
  5. WILLE R., Restructuring lattice theoгy: an approach based on hierarchies of concepts, In: Ordered sets (ed. I. Rival). Boston 1982. (1982) 
  6. WILLE R., Finite distributive lattices as concept lattices, Atti Inc. Logica Mathematica 2, 1985, 635-648. (1985) Zbl0577.06012MR0825054

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