【摘要】 借助关系图的概念,确定了有限集合上关系的传递闭包运算对交运算、复合运算和幂运算满足分配律的充分必要条件.特别是当关系是自反的或传递的时,证明关系的传递闭包运算对幂运算是满足分配律的.更多还原

【Abstract】 With some concepts of the relation graph, this paper determines sufficient and necessary conditions of the relations defined on a finite set whose transitive closure operation satisfies distributive laws to intersection operation, compound operation and power operation. In particular, we prove that transitive closure operation satisfies distributive laws to power operation when the relation is reflexive or transitive.更多还原