Boolean algebra am dle <1, 2, 3,6, >is a boolean algebra First, we can verify that it is distributive and complemented. We can prove that <(1, 2, 3, 6,>is isomorphic to P(a,b),c> We know the mapping keep the properties of operations ∩,∪.So<{1,2,3,6},|> is also a boolean algebraBoolean Algebra Example < {1, 2, 3, 6}, | > is a Boolean algebra. First, we can verify that it is distributive and complemented. We can prove that < {1, 2, 3, 6}, | > is isomorphic to < P({a, b}), ⊆>. We know the mapping keep the properties of operations ∩, ∪. So < {1, 2, 3, 6}, | > is also a Boolean algebra. Yi Li (Fudan University) Discrete Mathematics March 6, 2012 13 / 1