The E-base is valid and minimum for finite semidistributive closure lattices, exact characterizations are given for modular and geometric lattices, and every finite lattice embeds into a lattice with valid E-base.
Computing the D -base and D -relation in finite closure systems
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On the $E$-base of Finite Lattices: Semidistributive, Modular, and Geometric Lattices
The E-base is valid and minimum for finite semidistributive closure lattices, exact characterizations are given for modular and geometric lattices, and every finite lattice embeds into a lattice with valid E-base.