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complete lattice

   Also found in: Wikipedia 0.02 sec.
complete lattice [kəm′plēt ′lad·əs]
(mathematics)
A partially ordered set in which every subset has both a supremum and an infimum.
complete lattice - A lattice is a partial ordering of a set under a relation where all finite subsets have a least upper bound and a greatest lower bound. A complete lattice also has these for infinite subsets. Every finite lattice is complete. Some authors drop the requirement for greatest lower bounds.


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