It is the object of this note to give a necessary and sufficient condition for a-complete Boolean algebras A to be a-representable, i.e., to be is omorphic to an a-complete field of sets B modulo an a-complete ideal of B.1 It turned out that to each a-complete Boolean algebra A there is associated an idea Ra(A) which plays the role of a radical with respect to a-representation, i.e., a homomorphic image of A a-representable if ,and only if, the kernel of the homomorphism includes Ra(A) (of. Th. 3)
展开▼
