Automorphisms of semigroups of k-linked upfamilies

A family A of non-empty subsets of a set X is called an upfamily , if, for each set A ∈ A ; any set B  ⊃  A belongs to A . An upfamily ℒ is called k-linked , if ∩ ℱ ≠ ∅ for any subfamily ℱ ⊂ ℒ of cardinality ℱ ≤ k . The extension N k ( X ) consists of all k -linked upfamilies on X . Any associative...

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Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2018-10, Vol.234 (1), p.21-34
1. Verfasser:	Gavrylkiv, Volodymyr M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Automorphisms Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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