Abstract: The current paper gets the concrete forms of the subalgebras of two finite chain-type lattice implication product algebras by means of MATLAB, it is absolutely necessary to know the structure of lattice implication algebras more intuitively. An example was given to show the result. It investigated the relations of some filters of lattice implication algebras. Furthermore, it discussed about the filters of direct product of two finite chain-type lattice implication subalgebras, and got the direct product that two finite chain-type lattice implication subalgebras have trivial filters and prime filters only.

Key words: Filter, Latticc implication subalgcbra, Lattice implication product subalgcbra, Non-chain-type subalgcbra,Chain-type subalgebra