Independence of each axiom in a set of axioms and complete sets of axioms of Boolean algebra

We investigate fundamental properties of axioms of Boolean algebra in detail by using the Method of Indeterminate Coefficients. Three axioms, one of the complementary laws, one of the distributive laws and one of the least element (a), greatest element (b) and the absorption laws are essential for the algebra because those are independent from all other axioms of Boolean algebra. Then we research candidates, including those three axioms and other smaller size of axioms, for complete sets of axioms of Boolean algebra, and we can show some of those candidates are indeed complete sets of axioms of the algebra.