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Endomorphisms of the semigroup of order-preserving mappings

โœ Scribed by V. H. Fernandes; M. M. Jesus; V. Maltcev; J. D. Mitchell


Publisher
Springer
Year
2010
Tongue
English
Weight
343 KB
Volume
81
Category
Article
ISSN
0037-1912

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โœ Konrad Engel ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 384 KB
Enumeration of order preserving maps
โœ Dwight Duffus; Vojtech Rodl; Bill Sands; Robert Woodrow ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 757 KB

Three results are obtained concerning the number of order preserving maps of an n-element partially ordered set to itself. We show that any such ordered set has at least 2'"" order preserving maps (and 2" in the case of length one). Precise asymptotic estimates for the numbers of self-maps of crowns