摘要
证明了集合的任意两个划分的和导出的等价关系是这两个划分导出的等价关系的并集的传递闭包,任意两个划分的积导出的等价关系是这两个划分导出的等价关系的交集.
It is proved that the equivalence relation determined by the sum of any two partitions in a set is a transitive closure of union of equivalence relation determined by these two partitions;the equivalence relation determined by the product of any two partitions of a set is an intersection of equivalence relation determined by these two partitions.
出处
《兰州理工大学学报》
CAS
北大核心
2004年第5期130-132,共3页
Journal of Lanzhou University of Technology
基金
国家自然科学基金(60273084)