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Distance characterizations of finite lattices
Authors:Juhani Nieminen
Affiliation:(1) Department of Mathematics, Faculty of Technology, University of Oulu, 90570 Oulu, Finland
Abstract:
Semimodular, modular and distributive finite lattices are characterized by means of convex sublattices and distance closed sets of the Hasse diagram graphs.
Keywords:Finite lattices  distance closed sets  convex sublattices  distributivity  modularity  semimodularity
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