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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Algebraicity and the Tensor Product of Concept Lattices
verfasst von : Bogdan Chornomaz
Erschienen in: Formal Concept Analysis
Verlag: Springer International Publishing
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In this paper we prove that the tensor product of complete lattices, as it is defined in formal concept analysis, preserves algebraicity. The proof of this fact is based on the compactness of propositional logic. We use this property to show that the box product of (0, ∨ )-semilattices, introduced by G.Grätzer and F.Wehrung in 1999, can be obtained from the tensor product of concept lattices in a manner similar to how it is done in the definition of tensor product in “general” lattice theory.