A NOTE ON SYMMETRIC DIFFERENCES OF ORTHOMODULAR LATTICES Park, Eunsoon; Kim, Mi-Mi; Chung, Jin-Young;
There exist two distinct Symmetric differences in a non Boolean orthomodular lattics. Let L be an orthomodular lattice. Then L is a Boolean algebra if and only if one symmetric difference is equal to the other. An orthomodular lattice L is Boolean if and only if one of two symmetric differences of L is associative.