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Absorption Law


The law appearing in the definition of Boolean algebras and lattice which states that

 a ^ (a v b)=a v (a ^ b)=a

for binary operators  v and  ^ (which most commonly are logical OR and logical AND). The two parts of the absorption law are sometimes called the "absorption identities" (Grätzer 1971, p. 5).


See also

Boolean Algebra, Lattice

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References

Birkhoff, G. and Mac Lane, S. A Survey of Modern Algebra, 5th ed. New York: Macmillian, p. 317, 1996.Grätzer, G. Lattice Theory: First Concepts and Distributive Lattices. San Francisco, CA: W. H. Freeman, 1971.

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Absorption Law

Cite this as:

Weisstein, Eric W. "Absorption Law." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AbsorptionLaw.html

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