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单词 Dedekind lattice
释义

Dedekind lattice

英语百科

Modular lattice

Hasse diagram of N5, the smallest non-modular lattice: x∨(a∧b) = x∨0 = x ≠ b = 1∧b =(x∨a)∧b.
Nonmodularity of N5.

In the branch of mathematics called order theory, a modular lattice is a lattice that satisfies the following self-dual condition:

where    is the partial order, and    and   (called join and meet respectively) are the operations of the lattice. For an intuition behind the modularity condition see and below.

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