complemented lattice


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complemented lattice

[′käm·plə‚ment·əd ′lad·əs]
(mathematics)
A lattice with distinguished elements a and b, and with the property that corresponding to each point x of the lattice, there is a y such that the greatest lower bound of x and y is a, and the least upper bound of x and y is b.
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Huntington problem, and research is presented by the authors that suggests new axiomatic systems for boolean algebras in terms of uniquely complemented lattices.