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distributive lattice

   Also found in: Wikipedia 0.01 sec.
distributive lattice [di′strib·yəd·iv ′lad·əs]
(mathematics)
A lattice in which “greatest lower bound” obeys a distributive law with respect to “least upper bound,” and vice versa.

(theory)distributive lattice - A lattice for which the least upper bound (lub) and greatest lower bound (glb) operators distribute over one another so that

a lub (b glb c) == (a lub c) glb (a lub b)

and vice versa.

("lub" and "glb" are written in LateX as \sqcup and \sqcap).


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