Distributivity and modularity of lattices of quasiorders

Ivan Chajda; Josef Zedník

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2003)

  • Volume: 42, Issue: 1, page 13-18
  • ISSN: 0231-9721

How to cite

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Chajda, Ivan, and Zedník, Josef. "Distributivity and modularity of lattices of quasiorders." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 42.1 (2003): 13-18. <http://eudml.org/doc/23740>.

@article{Chajda2003,
author = {Chajda, Ivan, Zedník, Josef},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {lattice of quasiorders of an algebra; modular lattice; distributive lattice},
language = {eng},
number = {1},
pages = {13-18},
publisher = {Palacký University Olomouc},
title = {Distributivity and modularity of lattices of quasiorders},
url = {http://eudml.org/doc/23740},
volume = {42},
year = {2003},
}

TY - JOUR
AU - Chajda, Ivan
AU - Zedník, Josef
TI - Distributivity and modularity of lattices of quasiorders
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2003
PB - Palacký University Olomouc
VL - 42
IS - 1
SP - 13
EP - 18
LA - eng
KW - lattice of quasiorders of an algebra; modular lattice; distributive lattice
UR - http://eudml.org/doc/23740
ER -

References

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  1. Chajda I., Lаttices of compаtible relаtions, Arch. Math. (Brno) 13 (1977), 89-96. (1977) MR0463081
  2. Chajda I., A note on the triаngulаr scheme, East-West J. Math. 3 (2001), 79-80. MR1866645
  3. Chajda I., Vаrieties hаving distributive lаttices of quаsiorders, Czech Math. J. 41 (1991), 85-89. (1991) MR1087626
  4. Chajda I., Algebrаs sаtisfying cаrtаin quаsiorder indentities, Acta Univ. Palacki. Olomuc, Fac rer. nat., Math. 38 (1999), 35-41. (1999) MR1767189
  5. Chajda I., Pinus A. G., On quаsiorders in universаl аlgebrа, Algebra and Logic 22 (1993), 308-325. (1993) MR1286557
  6. Czédli G., Lenkehegyi A., On clаsses of ordered аlgebrаs аnd quаsiorder distributivity, Acta Sci. Math. (Szeged) 46 (1983), 41-54. (1983) MR0739021
  7. Gumm H.-P., Geometricаl methods in congruence modulаr аlgebrаs, Memoirs of the Amer. Math. Soc. 45 (1983). (1983) MR0714648
  8. Jónsson B., Algebrаs whose congruence lаttices аre distributive, Math. Scand. 21 (1967), 110-121. (1967) MR0237402

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