Sperner Systems of Family of Subsets of a Finite Set
  
Key Words: family of subsets   finite set   sperner system   conjecture.  
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Author NameAffiliation
Huang Guotai Hainan Normal College
Haikou 571158 
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Abstract:
      In 1980, Lih Ko-wei proposed the following conjecture: If F is an ordered ideal generated by the different elements having fixed ranks is B, then F is a sperner system. In this paper, we prove that if F is an ordered ideal generated by all the same ranked elements of the subset Y of X , then the conjecture is true.
Citation:
DOI:10.3770/j.issn:1000-341X.1998.03.020
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