Last Updated：2025/11/24

(algebra) A lattice in which the meet and the join operations are distributive with respect to each other.

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distributive lattice

Source Word

distributive lattice

Noun

(algebra) A lattice in which the "meet" and the "join" operations are distributive with respect to each other.

Japanese Meaning

分配格子: 代数学において、格子における meet（下限、論理積）操作と join（上限、論理和）操作が互いに分配法則を満たす性質を持つ構造。

Every finite Boolean algebra forms a distributive lattice, making it particularly amenable to combinatorial analysis.

任意の有限ブール代数は、交わり（meet）と合（join）の演算が互いに分配される格子、つまり分配格子を成すため、特に組合せ論的解析に適している。

Sense（1）

(algebra) A lattice in which the "meet" and the "join" operations are distributive with respect to each other.

In a distributive lattice, the set of complemented elements is a sublattice.

distributive lattices

（ plural ）