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Chinese Science Bulletin Vol. 42 No. 18 September 1997 semantic viewpoint, we have proposed the concept of lattice implication algebra in ref.[I] by combining latticer2] and implication algebra, and discussed some of their propertiesr1'3-51. In this note, we discuss the properties of the filters of lattice implication algebra, especailly about the generated filters, and give the characteristic of the finite lattice implication algebra chain.