Denoting by |B| the cardinality
of a Boolean algebra B and by S(B) the least cardinal κ such that every family of
mutually disjoint elements of B has cardinality less than κ, we prove that: if B is a
complete Boolean algebras, then there is a finite family B1,⋯,Bn of complete
Boolean algebra, such that B is isomorphic to the product B1 ×⋯ × Bn, and
|Bi| = |Bi| for i = 1,2,⋯,n.
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