About: Slim lattice

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In lattice theory, a mathematical discipline, a finite lattice is slim if no three join-irreducible elements form an antichain. Every slim lattice is . A finite planar semimodular lattice is slim if and only if it contains no cover-preserving diamond sublattice M3 (this is the original definition of a slim lattice due to George Grätzer and Edward Knapp).

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  • In lattice theory, a mathematical discipline, a finite lattice is slim if no three join-irreducible elements form an antichain. Every slim lattice is . A finite planar semimodular lattice is slim if and only if it contains no cover-preserving diamond sublattice M3 (this is the original definition of a slim lattice due to George Grätzer and Edward Knapp). (en)
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  • In lattice theory, a mathematical discipline, a finite lattice is slim if no three join-irreducible elements form an antichain. Every slim lattice is . A finite planar semimodular lattice is slim if and only if it contains no cover-preserving diamond sublattice M3 (this is the original definition of a slim lattice due to George Grätzer and Edward Knapp). (en)
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  • Slim lattice (en)
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