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Boolean algebra   (englanti)

Määritelmä taso 4

Algebra in which we consider a set S and two commutative
operations + and ×, with the rules that:
  1. each of the operations has an identity element in S, and these
    elements are not the same;
  2. each operation is distributive over the other;
  3. each element has an inverse in S under each of the operations.

Note that the operations + and × are not quite the same as for the ordinary numbers.
This kind of algebra is widely used in logic and set theory.

Rahoittajat: EU Socrates Minerva, HeyMath!, Cambridge University Press
Tekijänoikeudet: 2001-2004 Cambridgen yliopisto ja yhteistyökumppanit