Question: Let B1 be the Boolean algebra of all positive integer divisors of 2310, with B2 the Boolean algebra of all subsets of {a, b, c,

Let B1 be the Boolean algebra of all positive integer divisors of 2310, with B2 the Boolean algebra of all subsets of {a, b, c, d, e}.
(a) Define f: B1 → B2 so that f(2) = {a}, f(3) = {b}, f(5) = {c}, f(7) = {d}, f(11) = {e}. For f to be an isomorphism, what must the images of 35, 110, 210, and 330 be?
(b) How many different isomorphisms can one define between B1 and B2?

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