distributive lattice


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.

distributive lattice

(theory)A lattice for which the least upper bound (lub)and greatest lower bound (glb) operators distribute over oneanother 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).