Non-modular and non-distributive primitive ordered subsets of lattices

Jiří Rachůnek

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1993)

  • Volume: 32, Issue: 1, page 141-149
  • ISSN: 0231-9721

How to cite

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Rachůnek, Jiří. "Non-modular and non-distributive primitive ordered subsets of lattices." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 32.1 (1993): 141-149. <http://eudml.org/doc/23568>.

@article{Rachůnek1993,
author = {Rachůnek, Jiří},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {primitive ordered subset of a lattice; variety of distributive lattices; non-distributive varieties of lattices},
language = {eng},
number = {1},
pages = {141-149},
publisher = {Palacký University Olomouc},
title = {Non-modular and non-distributive primitive ordered subsets of lattices},
url = {http://eudml.org/doc/23568},
volume = {32},
year = {1993},
}

TY - JOUR
AU - Rachůnek, Jiří
TI - Non-modular and non-distributive primitive ordered subsets of lattices
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1993
PB - Palacký University Olomouc
VL - 32
IS - 1
SP - 141
EP - 149
LA - eng
KW - primitive ordered subset of a lattice; variety of distributive lattices; non-distributive varieties of lattices
UR - http://eudml.org/doc/23568
ER -

References

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  1. Chajda I., Rachůnek J., Forbidden configurations for distributive and modular ordered sets, Order 5 (1989), 407-429. (1989) MR1010389
  2. Grätzer G., General Lattice Theory, Akademie-Verlag, Berlin, 1978. (1978) MR0504338
  3. Jónsson B., Rival I., Lattice varieties covering the smallest non-modular variety, Pacific J. Math. 82 (1979), 463-478. (1979) Zbl0424.06004MR0551703
  4. Larmerová J., Rachůnek J., Translations of modular and distributive ordered sets, Acta UPO, Fac. Rer. Nat., Math. 91(1988), 13-23. (1988) 
  5. McKenzie R., Equational bases and nonmodular lattice varieties, Trans. Amer. Math. Soc. 174 (1972), 1-43. (1972) MR0313141
  6. Wille R., Primitive subsets of lattices, Alg. Univ. 2 (1972), 95-98. (1972) Zbl0269.06001MR0311524

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