Representation of slim lattice by poset

Andreja Tepavcevic, Marijana Gorjanac Ranitovic


In this paper, we presented the necessary and sufficient conditions for a poset to be a poset of the union of join and meet irreducible elements of the slim lattice. Slim lattices are special finite lattices that are intensively investigated recently. The problem that we solved in this paper is a generalization of the problem proposed very recently by Czedli.


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