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单词 DistributiveLattice
释义

distributive lattice


A latticeMathworldPlanetmath (http://planetmath.org/Lattice) is said to be distributive if it satisifes either (and therefore both) of the distributive laws (http://planetmath.org/Distributive):

  • x(yz)=(xy)(xz)

  • x(yz)=(xy)(xz)

Every distributive latticeMathworldPlanetmath is modular (http://planetmath.org/ModularLattice).

Examples of distributive lattices include Boolean lattices (http://planetmath.org/BooleanLattice), totally ordered setsMathworldPlanetmath, and the subgroupMathworldPlanetmathPlanetmath lattices (http://planetmath.org/LatticeOfSubgroups) of locally cyclic groups.

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更新时间:2025/5/4 13:39:54