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math.RA2012
On the number of slim, semimodular lattices
Gábor Czédli, Tamás Dékány, László Ozsvárt +2
A lattice L is slim if it is finite and the set of its join-irreducible elements contains no three-element antichain. Slim, semimodular lattices were previously characterized by G.…
math.RA2012★ 20 cited
Coordinatization of join-distributive lattices
Gábor Czédli
Join-distributive lattices are finite, meet-semidistributive, and semimodular lattices. They are the same as Dilworth's lattices in 1940, and many alternative definitions and equiv…