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Modular lattice - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Modular_lattice
In the branch of mathematics called order theory, a modular lattice is a lattice that satisfies the following self-dual condition: Modular law: x ≤ b implies x ∨ (a ...
Lattice (order) - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Lattice_(order)
Besides distributive lattices, examples of modular lattices are the lattice of submodules of a module, and the lattice of normal subgroups of a group.
mathworld.wolfram.com/ModularLattice.html
is said to be modular. SEE ALSO: Distributive Lattice. REFERENCES: Grätzer, G. Lattice Theory: First Concepts and Distributive Lattices. San Francisco, CA: ...
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planetmath.org/encyclopedia/ModularLattice.html
Apr 16, 2007 ... A lattice $L$ is said to be modular if $x \lor (y \land z) = (x \lor y) \land z$ for all $x, y,z\in L$ such that $x \leq z$ . In fact it is sufficient to show that ...
mathcs.chapman.edu/structuresold/files/Modular_lattices... mathcs.chapman.edu/structuresold/files/Modular_lattices.pdf
A modular lattice is a lattice L = 〈L,∨,∧〉 that satisfies the modular identity: ((x ∧ z) ∨ y) ∧ z = (x ∧ z) ∨ (y ∧ z). Definition 2. A modular lattice is a lattice L = 〈L ...
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