Lattices of tolerances

Ivan Chajda; Bohdan Zelinka

Časopis pro pěstování matematiky (1977)

  • Volume: 102, Issue: 1, page 10-24
  • ISSN: 0528-2195

How to cite

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Chajda, Ivan, and Zelinka, Bohdan. "Lattices of tolerances." Časopis pro pěstování matematiky 102.1 (1977): 10-24. <http://eudml.org/doc/21307>.

@article{Chajda1977,
author = {Chajda, Ivan, Zelinka, Bohdan},
journal = {Časopis pro pěstování matematiky},
language = {eng},
number = {1},
pages = {10-24},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Lattices of tolerances},
url = {http://eudml.org/doc/21307},
volume = {102},
year = {1977},
}

TY - JOUR
AU - Chajda, Ivan
AU - Zelinka, Bohdan
TI - Lattices of tolerances
JO - Časopis pro pěstování matematiky
PY - 1977
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 102
IS - 1
SP - 10
EP - 24
LA - eng
UR - http://eudml.org/doc/21307
ER -

References

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  1. G. Birkhoff, Lattice Theory, Amer. Math. Soc. New York 1940. (1940) Zbl0063.00402MR0001959
  2. G. Birkhoff, On the structure of abstract algebгas, Proc. Cambridge Phil. Soc. 31 (19З5), 4ЗЗ-454. (19З5) 
  3. G. Birkhoff, J. Frink, Representation of lattices by sets, Trans. Amer. Math. Soc. 64 (1948), 299-Зlб. (1948) MR0027263
  4. N. Funayama, T. Nakayama, On the distributivity of a lattice of lattice-congruences, Proc. Imp. Acad. Tokyo 18 (1942), 553-554. (1942) Zbl0063.01483MR0014065
  5. G. Grätzer, Universal Algebra, Van Nostrand Co., London 1968. (1968) MR0248066
  6. G. Grätzer, Lattice Theory First Concepts and Distributive Lattices, Freeman and Co., San Francisco 1971. (1971) MR0321817
  7. I. Chajda B. Zelinka, Tolerance relations on lattices, Čas. pěstov. mat. 99 (1974), 394-399. (1974) MR0360380
  8. I. Chajda B. Zelinka, Compatible relations on algebras, Čas. pěstov. mat. 100 (1975), 355-360. (1975) MR0389710
  9. I. Chajda B. Zelinka, Weakly associative lattices and tolerance relations, Czech. Math. Ј. 26 (1976), 259-269. (1976) MR0401558
  10. I. Chajda J. Niederle, B. Zelinka, On existence conditions for compatible toleгances, Czech. Math. Ј. 26 (1976), 304-311. (1976) MR0401561
  11. G. Szász, Intгoduction to Lattice Theory, Akadémiai Kiadó Budapest 1963. (1963) 
  12. E. C. Zeeman, The topology of the brain and visual perception, In: The Topology of 3-Manifolds, ed. by M. K. Foгt, pp. 240-256. MR0140374
  13. B. Zelinka, Tolerance graphs, Comment. Math. Univ. Carol. 9 (1968), 121-131. (1968) Zbl0155.51206MR0232698
  14. B. Zelinka, Toleгance in algebraic structures, Czech. Math. Ј. 20 (1970), 179-183. (1970) MR0260653
  15. B. Zelinka, Tolerance in algebraic structures II, Czech. Math. Ј. 25 (1975), 175-178. (1975) Zbl0316.08001MR0457323

Citations in EuDML Documents

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  1. Josef Niederle, A note on tolerance lattices of products of lattices
  2. Ivan Chajda, Direct decomposability of congruences in congruence-permutable varieties
  3. Joanna Grygiel, Distributive lattices with a given skeleton
  4. Ivan Chajda, Juhani Nieminen, Direct decomposability of tolerances on lattices, semilattices and quasilattices
  5. Ivan Chajda, Bohdan Zelinka, Tolerances and convexity
  6. Bedřich Pondělíček, Direct decomposability of tolerances and congruences on semigroups
  7. Ivan Chajda, A characterization of distributive lattices by tolerance lattices
  8. Ivan Chajda, Josef Dalík, Josef Niederle, Vítězslav Veselý, Bohdan Zelinka, How to draw tolerance lattices of finite chains
  9. Ivan Chajda, Relational classes and their characterizations
  10. Josef Niederle, On Z -continuous tolerances of Z -distributive lattices

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