幂交半格上的交同余及其性质

Intersection Congruence and the Property of Power Intersection Semilattice

给出了幂交半格上几个具体的交同余,证明了任意多个交同余的并是交同余,并指出幂交半格的交同余类是子交半格,介绍了幂交半格上由θ诱导的交同余具有保并性和保序性。

In this paper, we give some concrete intersection congruences on power intersection semilattice. It is proved out that union set of any number of intersection congruences are intersection congruences. It is pointed out that the class of intersection congruence of power intersection semilattice is subintersection semilattice. It is introduced that the intersection congruence induced by θ has union preserving and order preserving on power intersection semilattice.