On semimodular lattices of generating systems

Josef Dalík

Archivum Mathematicum (1982)

  • Volume: 018, Issue: 1, page 1-8
  • ISSN: 0044-8753

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Dalík, Josef. "On semimodular lattices of generating systems." Archivum Mathematicum 018.1 (1982): 1-8. <http://eudml.org/doc/18070>.

@article{Dalík1982,
author = {Dalík, Josef},
journal = {Archivum Mathematicum},
keywords = {semimodular lattice; closure operations; complete lattices; chain; lattices of imbedding operators},
language = {eng},
number = {1},
pages = {1-8},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On semimodular lattices of generating systems},
url = {http://eudml.org/doc/18070},
volume = {018},
year = {1982},
}

TY - JOUR
AU - Dalík, Josef
TI - On semimodular lattices of generating systems
JO - Archivum Mathematicum
PY - 1982
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 018
IS - 1
SP - 1
EP - 8
LA - eng
KW - semimodular lattice; closure operations; complete lattices; chain; lattices of imbedding operators
UR - http://eudml.org/doc/18070
ER -

References

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  1. G. Grätzer, General Lattice Theory, Akademie-Verlag Berlin, 1978. (1978) MR0504338
  2. J. Kelley, General Topology, New York, 1955. (1955) Zbl0066.16604MR0070144
  3. J. Dalík, An embedding problem and its application in linguistics, Arch. Math. (Brno) 3, XIV (1978), 123-138. (1978) MR0521193
  4. J. Dalík, Lattices of generating systems, Arch. Math. (Brno) 3, XVI (1980), 137-152. (1980) MR0594459
  5. J. Dalík, Characterizations of certain classes of posets having gs-lattices of a relatively small size, Czechoslovak Math. J. 31 (106), 1981, 433-450. (1981) MR0626917
  6. R. E. Larson S. J. Andima, The lattice of topologies: a survey, Rocky Mountains J. Math. 5 (1975), 177-198. (1975) MR0388306
  7. A. C. M. van Rooij, The lattice of all topologies is complemented, Katholicke Universiteit, Nijmegen, Netherlands, 1967. (1967) 
  8. J. Rosický, Embeddings of lattices in the lattice of topologies, Arch. Math. (Brno) 2, IX (1973), 49-56. (1973) MR0372803
  9. M. Sekanina, Sistěmy topologij na dannom množestve, Czechoslovak Math. J. 15 (90), 1965. (1965) MR0184193

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