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Diskretnaya Matematika, 2004, Volume 16, Issue 2, Pages 85–97
DOI: https://doi.org/10.4213/dm154 (Mi dm154) 		 
On the number closure-type mappings

V. B. Alekseev
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DOI: https://doi.org/10.4213/dm154
Abstract: In this paper, we consider mappings of Cartesian powers $S^n$ of an arbitrary partially ordered set $S$ into itself which possess the main properties of closures. For each partially ordered set, we describe the asymptotic behaviour of the logarithm of the number of such mappings as $n\to\infty$.
This research was supported by the Russian Foundation for Basic Research, grant 03–01–00783.
Received: 10.11.2003
English version:
Discrete Mathematics and Applications, 2004, Volume 14, Issue 3, Pages 217–229
DOI: https://doi.org/10.1515/1569392031905566
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: V. B. Alekseev, “On the number closure-type mappings”, Diskr. Mat., 16:2 (2004), 85–97; Discrete Math. Appl., 14:3 (2004), 217–229
Citation in format AMSBIB
\Bibitem{Ale04}
\by V.~B.~Alekseev
\paper On the number closure-type mappings
\jour Diskr. Mat.
\yr 2004
\vol 16
\issue 2
\pages 85--97
\mathnet{http://mi.mathnet.ru/dm154}
\crossref{https://doi.org/10.4213/dm154}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2084571}
\zmath{https://zbmath.org/?q=an:1121.03031}
\transl
\jour Discrete Math. Appl.
\yr 2004
\vol 14
\issue 3
\pages 217--229
\crossref{https://doi.org/10.1515/1569392031905566}
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