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Absorption Law

The law appearing in the definition of a Boolean Algebra which states

a\land (a\lor b)=a\lor (a\land b)=a

for binary operators $\lor$ and $\land$ (which most commonly are logical Or and logical And).

See also Boolean Algebra, Lattice


Birkhoff, G. and Mac Lane, S. A Survey of Modern Algebra, 3rd ed. New York: Macmillian, p. 317, 1965.

© 1996-9 Eric W. Weisstein