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• W823772005 abstract "Within lattice theory, an interesting question asked is whether a given abstract lattice may be represented concretely as subsets of a closure system on a topological space. This is true for boolean algebras, bounded distributive lattices and arbitrary bounded lattices. In particular, there are a multitude of ways to represent bounded lattices. We present some of these ideas, as well as an analysis of the differences between them. We further investigate the attempts that were made to extend the above representations to lattices endowed with operators, in particular the work done on bounded distributive lattices with operators. We then make a new contribution by extending this work to arbitrary bounded lattices with operators. We also show that the so-called sufficiency operator has a relational representation in the bounded lattice case." @default.
• W823772005 created "2016-06-24" @default.
• W823772005 creator A5012380431 @default.
• W823772005 date "2010-03-01" @default.
• W823772005 modified "2023-09-23" @default.
• W823772005 title "Relational representations for bounded lattices with operators" @default.
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• W823772005 hasPublicationYear "2010" @default.
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