SYMMETRY OPERATIONS ON LATTICES
Chun Yu Hong · Journal of Dalian Fisheries University · 1986
This paper discusses the relations between the symmetry operation on lattices and the order-preserving doubly mapping. the main conclusion is that: The order-preserving doubly mapping on the set of v-inseparable elements of dual perfect distributive lattice L can be expanded on to L; The order-preserving doubly mapping on a Boolean algebra equivalents to symmetry operation; The symmetry operation on a set algebra P(x) is induced mapping by doubly mapping on X; All finite symmetry Boolean algebra are set algebra of a certain set X, Which has a doubly mapping.