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单词 ClosedSublattice
释义

closed sublattice


A sublattice K of a complete latticeMathworldPlanetmath L is a closed sublattice of L iff K contains the meet and the join of any its nonempty subset.

Examples:

Any completePlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath sublattice is a closed sublattice.

[0;1] is a closed sublattice of (-;).

The set of rational numbers is not a closed sublattice of the set of real numbers.

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更新时间:2025/5/4 11:48:37