Concrete representation of some equivalence lattices

Ivan Korec

Mathematica Slovaca (1981)

  • Volume: 31, Issue: 1, page 13-22
  • ISSN: 0232-0525

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Korec, Ivan. "Concrete representation of some equivalence lattices." Mathematica Slovaca 31.1 (1981): 13-22. <http://eudml.org/doc/31786>.

@article{Korec1981,
author = {Korec, Ivan},
journal = {Mathematica Slovaca},
keywords = {arithmetical algebras; equivalence lattices; distributive and permutable equivalences; equivalence relations; m-arithmetical complete sublattice; ternary function},
language = {eng},
number = {1},
pages = {13-22},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Concrete representation of some equivalence lattices},
url = {http://eudml.org/doc/31786},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Korec, Ivan
TI - Concrete representation of some equivalence lattices
JO - Mathematica Slovaca
PY - 1981
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 31
IS - 1
SP - 13
EP - 22
LA - eng
KW - arithmetical algebras; equivalence lattices; distributive and permutable equivalences; equivalence relations; m-arithmetical complete sublattice; ternary function
UR - http://eudml.org/doc/31786
ER -

References

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  1. CRAWLEY P., DILWORTH R. P., Algebraic theory of lattices, Pгentice Hall Inc., 1973. (1973) Zbl0494.06001
  2. GRÄTZER G., Universal algebra, Von Nostrand, Princeton, New Yoгk 1968. (1968) MR0248066
  3. JONSSON B., Topics in universal algebra, Lecture Notes in Math., Vol. 250, Springer Veгlag, Berlin and New York 1970. (1970) MR0345895
  4. KOREC I., A ternary function for distributivity and peгmutability of an equivalence lattice, Proc. Amer. Math. Soc., Vol. 69, Number 1, April 1978, 8-10. (1978) MR0472648
  5. PIXLEY A. F., Completeness in arithmetical algebras, Algebra univ., 2, 1972, 179-196. (1972) Zbl0254.08010MR0321843

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