# Fixed edge theorems for complete lattices

Archivum Mathematicum (1981)

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

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top## How to cite

topKlimeš, 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

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

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