2. [10pts] The lattice (D21o, 1) is a Boolean Algebra, where D210 = {1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210) a) What are the atoms of this Boolean Algebra? b) Find a set S such that [P(S),U, , c] and [D210,V,A,j are isomorphic. c) Exhibit an isomorphism, f, between these two algebras. (You need only show f(1), f(2), f(3), f(5), f(6), f(7), f (35), and f(210).) 2. [10pts] The lattice (D21o, 1) is a Boolean Algebra, where D210 = {1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210) a) What are the atoms of this Boolean Algebra? b) Find a set S such that [P(S),U, , c] and [D210,V,A,j are isomorphic. c) Exhibit an isomorphism, f, between these two algebras. (You need only show f(1), f(2), f(3), f(5), f(6), f(7), f (35), and f(210).)