Fixed edge theorems for complete lattices

Jiří Klimeš

Archivum Mathematicum (1981)

  • Volume: 017, Issue: 4, page 227-234
  • ISSN: 0044-8753

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Klimeš, Jiří. "Fixed edge theorems for complete lattices." Archivum Mathematicum 017.4 (1981): 227-234. <http://eudml.org/doc/18069>.

@article{Klimeš1981,
author = {Klimeš, Jiří},
journal = {Archivum Mathematicum},
keywords = {fixed edge of mapping; decreasing mappings of ordered sets; complete lattice; maximal element; commuting system of selfmappings; Dedekind- complete ordered set},
language = {eng},
number = {4},
pages = {227-234},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Fixed edge theorems for complete lattices},
url = {http://eudml.org/doc/18069},
volume = {017},
year = {1981},
}

TY - JOUR
AU - Klimeš, Jiří
TI - Fixed edge theorems for complete lattices
JO - Archivum Mathematicum
PY - 1981
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 017
IS - 4
SP - 227
EP - 234
LA - eng
KW - fixed edge of mapping; decreasing mappings of ordered sets; complete lattice; maximal element; commuting system of selfmappings; Dedekind- complete ordered set
UR - http://eudml.org/doc/18069
ER -

References

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  1. P. Crawley, R. P. Dilworth, Algebraic Theory of Lattices, Prentice-Hall, Englewod Cliffs, NJ, 1973. (1973) Zbl0494.06001
  2. E. J. McShane, Order-preserving maps and integration processes, Annals of Math. Studies, 31 (Pгinceton, 1953). (1953) Zbl0051.29301MR0056064
  3. A. E. Roth, A Lattice Fixed Point Theorem With Constraints, Bulletin of the Amer. Math. Soc., 81 (1975), 136-138. (1975) Zbl0319.06005MR0360389
  4. R. E. Smithson, Fixed points in partially ordered sets, Pacific J. of Math., 45 (1973), 363-367. (1973) Zbl0248.06002MR0316323
  5. A. Tarski, A lattice theoretical fixpoint and its application, Pacific J. of Math., 5 (1955), 285-309. (1955) MR0074376
  6. E. S. Wolk, Dedekind completness and fixed point theorem, Canad. J. Math. (1957), 400-405. (1957) MR0086788

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