幂交半格的交同态与交同余

Intersection Homomorphism and Intersection Congruence of Power-intersected Semilattice

根据交半格上的交同态、交同余得出了幂交半格上的交同态、交同余,证明了幂交半格的商集仍是幂交半格,从交半格的交同余诱导出商交半格上的同构.

In this paper,according to the intersection homomorphism and intersection congruence on the intersection semilattice,the intersection homomorphism and intersection congruence on the power-intersection semilattice are obtained.It is proved that the quotient set of the power-intersection semilattice is still a power-intersection semilattice.The isomorphism on the quotient intersection semilattice is induced from the intersection congruence of the intersection semilattice.