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Slim semimodular lattices I. A visual approach

By Gábor Czédli and E. Tamás Schmidt

Abstract

A finite lattice L is called slim if no three join-irreducible elements of L form an antichain. Slim lattices are planar. Slim semimodular lattices play the main role in [3], where lattice theory is applied to a purely group theoretical problem. After exploring some easy properties of slim lattices and slim semimodular lattices, we give two visual structure theorems for slim semimodular lattices

Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.191.32
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