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Meaning of Boolean algebra

Bool'e•an al'gebra

Pronunciation: (b'lē-un), [key]
  1. a deductive logical system, usually applied to classes, in which, under the operations of intersection and symmetric difference, classes are treated as algebraic quantities.
  2. a ring with a multiplicative identity in which every element is an idempotent.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.