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Abstract About a quarter of a century ago, lattice theory entered the foreground of mathematics and its rate of development increased rapidly. Today it is already one of the important branches of algebra. Its concepts and methods have found hndamental applications in various areas of mathematics. In 1824, in the course of his research in mathematical logic, G. Boole introduced an important class of lattices which were latter named Boolean algebras. There are many generalizations of Boolean algebras in the literature. Let us just mention the de Morgan algebras and Stone algebras |