Randomized trial examines the properties of lattice structures in matrices, indicating non-distributive behavior.
The set of matrices formed by taking entries from [1] the residues modulo πΒ², and considering this set of matrices π as and defining the join and meet on π to verify that is a lattice and continuing with the same operations, it can be shown that the lattice is not distributive. To supplement this result, a table that verifies the failure of distributive property is shown.
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Rao et al. (2026) studied this question.
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