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Explicitly, a Boolean algebra is the partial order on subsets defined by inclusion (Skiena 1990, p. 207), i.e., the Boolean algebra of a set is the set of subsets of that can be obtained by means of a finite number of the set operations union (OR), intersection (AND), and complementation (NOT) (Comtet 1974, p. 185).
His domain is English history. 1  A group of related items, topics, or subjects. ( 2 mathematics) The set of all possible mathematical entities (points) where a given function is defined. ( 3 mathematics) A ring with no zero divisors; that is, in which no product of nonzero elements is zero.