Distinguishing subsets in lattices

Ivan Kopeček

Archivum Mathematicum (1982)

  • Volume: 018, Issue: 3, page 145-149
  • ISSN: 0044-8753

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Kopeček, Ivan. "Distinguishing subsets in lattices." Archivum Mathematicum 018.3 (1982): 145-149. <http://eudml.org/doc/18088>.

@article{Kopeček1982,
author = {Kopeček, Ivan},
journal = {Archivum Mathematicum},
keywords = {principal congruence; disjunctive subsets; syntactic semigroups of formal languages; relatively complemented lattice; density},
language = {eng},
number = {3},
pages = {145-149},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Distinguishing subsets in lattices},
url = {http://eudml.org/doc/18088},
volume = {018},
year = {1982},
}

TY - JOUR
AU - Kopeček, Ivan
TI - Distinguishing subsets in lattices
JO - Archivum Mathematicum
PY - 1982
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 018
IS - 3
SP - 145
EP - 149
LA - eng
KW - principal congruence; disjunctive subsets; syntactic semigroups of formal languages; relatively complemented lattice; density
UR - http://eudml.org/doc/18088
ER -

References

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  1. Cohn P. M., Universal Algebra, Harper & Row. N. Y. 1965. (1965) Zbl0141.01002MR0175948
  2. Jürgensen H.: Thierin G., Semigroups with each element disjunctive, Institut für Theoretische Informatik Darmstadt, TI-17/79, 1979. (1979) 
  3. Kopeček I., Distinguishing subsets in general algebras, Čas. pro pěst. mat., 106(1981), 94-100. (1981) MR0613712
  4. Novotný M., On some relations defined by languages, Prague Studies in Math. Linguistics 4, 1972, 157-170. (1972) MR0483771
  5. Opp M., Charakterisierungen erkennbarer Termmengungen in absolut freien universelen Algebren, Bericht Nr. 20. Institut für Informatik, Hamburg 1976. (1976) 
  6. Schein B. M., Homomorphisms and subdirect decomposition of semigroups, Pacific J. Math. 17 (1966), 529-547. (1966) MR0197603
  7. Schützenberger M. P., Une theorie algebrique du codage, C. R. Acad. Sc. Paris 242 (1956), 862-864. (1956) MR0075169
  8. Shyr H. J., Disjunctive languages on a free monoid, Information and Control 34 (1977), 123-129. (1977) Zbl0354.68108MR0443460
  9. Szász G., Introduction to Lattice Theory, Budapest, Akadémiai Kiadó, 1963. (1963) MR0166118
  10. Tully E. J., Jr., Representation of semigroups by transformation of a set, Dissertation, Tulane Univ., I960. 
  11. Zapletal J., Distinguishing subsets of semigroups and groups, Arch. Math. Brno 4 (1968), 241-250. (1968) Zbl0325.20059MR0263958
  12. Zapletal J., Distinguishing subsets in semilattices, Arch. Math. Brno 2 (1973), 73-82. (1973) MR0364513
  13. Zapletal J., On the characterization of semilattices satisfying the descending chain condition and some remarks on distinguishing subsets, Arch. Math., Brno 2 (1973), 123-128. (1973) MR0379720

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