A characterization of inductive posets

Jiří Klimeš

Archivum Mathematicum (1985)

  • Volume: 021, Issue: 1, page 39-42
  • ISSN: 0044-8753

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Klimeš, Jiří. "A characterization of inductive posets." Archivum Mathematicum 021.1 (1985): 39-42. <http://eudml.org/doc/18152>.

@article{Klimeš1985,
author = {Klimeš, Jiří},
journal = {Archivum Mathematicum},
keywords = {partially ordered sets; fixed points; isotone mappings; inductiveness in posets; upper semilattice; fixed point; ascending mappings},
language = {eng},
number = {1},
pages = {39-42},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A characterization of inductive posets},
url = {http://eudml.org/doc/18152},
volume = {021},
year = {1985},
}

TY - JOUR
AU - Klimeš, Jiří
TI - A characterization of inductive posets
JO - Archivum Mathematicum
PY - 1985
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 021
IS - 1
SP - 39
EP - 42
LA - eng
KW - partially ordered sets; fixed points; isotone mappings; inductiveness in posets; upper semilattice; fixed point; ascending mappings
UR - http://eudml.org/doc/18152
ER -

References

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  1. S. Abian, A. B. Bгown, A theorem on partially ordered sets with applications to fixed point theorems, Canad. J. Math. 13 (1961), 78-83. (1961) MR0123492
  2. N. Bouгbaki, Theorie des Ensembles, Paris, 1956. (1956) 
  3. P. Crawley, R. P. Dilworth, Algebraic Theory of Lattices, Prentice-Hall., Englewood Cliffs, NJ, 1973. (1973) Zbl0494.06001
  4. А. C. Davis, A characterization of complete lattices, Pacific J. Math. 5 (1955), 311-319. (1955) Zbl0064.26101MR0074377
  5. G. Markowsky, Chain complete posets and directed sets with applications, Аlg. Universalis 6 (1976), 53-68. (1976) Zbl0332.06001MR0398913
  6. А. Taгski, A lattice theoretical fixpoint theorem and its applications, Pacific J. Math. 5 (1955), 285-309. (1955) MR0074376
  7. E. Zermelo, Neuer Beweis für die Möglichkeit einer Wohlordnung, Math. Аnn. 65 (1908), 107-128. (1908) Zbl38.0096.02

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