complete lattice

(redirected from Complete free lattice)
Also found in: Wikipedia.

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.
Mentioned in ?