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Date: 2-1-2022
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The complete products of a Boolean algebra of subsets generated by a set of cardinal number are the Boolean functions
(1) |
where each may equal or its complement . For example, the complete products of are
(2) |
Each Boolean function has a unique representation (up to order) as a union of complete products. For example,
(3) |
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(4) |
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(5) |
(Comtet 1974, p. 186).
REFERENCES:
Comtet, L. Advanced Combinatorics: The Art of Finite and Infinite Expansions, rev. enl. ed. Dordrecht, Netherlands: Reidel, p. 186, 1974.
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