complete lattice

Noun

(algebra) A partially ordered set in which all subsets have both a supremum (join) and an infimum (meet).

Japanese Meaning

完備格子：任意の部分集合に対して、上限（合併・supremum）と下限（交わり・infimum）が存在する部分順序集合

In order theory, every complete lattice has a greatest element and a least element.

順序理論において、任意の完備束は最大元と最小元を持つ。

Sense（1）

(algebra) A partially ordered set in which all subsets have both a supremum (join) and an infimum (meet).

complete lattices

（ plural ）