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Free Distributive Completions of Partial Complete Lattices
Authors:Gerd Stumme
Institution:(1) Fachbereich Mathematik, Schloßgartenstr. 7, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
Abstract:The free distributive completion of a partial complete lattice is the complete lattice that it is freely generated by the partial complete lattice lsquoin the most distributive wayrsquo. This can be described as being a universal solution in the sense of universal algebra. Free distributive completions generalize the constructions of tensor products and of free completely distributive complete lattices over partially ordered sets.
Keywords:completions of partial lattices  free completely distributive complete lattices  tensor products of lattices  formal concept analysis
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