不可约关系的幂

Powers of an Irreducible Relation

研究了有限集 X上的不可约二元关系ρ的性质 ,证明了其含有唯一的传递关系 ,同时证明了ρk∪ρk+1∪……∪ρk+d-1=ρ∪ρ2 ∪……∪ρn=X× X。

The property of the irreducible binary relation ρ on a finite set X is studied.The unique transitive relation is demonstrated and ρ k∪ρ k+1 ∪…∪ρ k+d-1 =ρ∪ρ 2∪…∪ρ n= X × X is also proved.