A fresh perspective on canonical extensions for bounded lattices. (Q395673)
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scientific article; zbMATH DE number 6252060
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fresh perspective on canonical extensions for bounded lattices. |
scientific article; zbMATH DE number 6252060 |
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A fresh perspective on canonical extensions for bounded lattices. (English)
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30 January 2014
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In this paper the authors present a new approach to the canonical extension of a bounded lattice that includes the universal bounds, \(0\) and \(1\), in the signature. They explore in detail the interface between canonical extensions and duality theory for lattices, and a categorical context for these. The validation of their construction of the canonical extension is independent of pre-existing theory of canonical extensions for the variety of bounded lattices.
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canonical extensions
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natural duality
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topological representations
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bounded lattices
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