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Journal of Pure and Applied Algebra
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A duality of quantale-enriched categories

Authors: Hofmann, Dirk; Waszkiewicz, Paweł;

A duality of quantale-enriched categories

Abstract

We describe a duality for quantale-enriched categories that extends the Lawson duality for continuous dcpos: for any saturated class J of modules that commute with certain weighted limits, and under an appropriate choice of morphisms, the category of J-cocomplete and J-continuous quantale-enriched categories is self-dual.

16 pages

Country
Poland
Keywords

quantales, Algebra and Number Theory, Complete distributivity, Semantics in the theory of computing, Mathematics - Category Theory, continuous dcpo, Lawson duality, Enriched categories (over closed or monoidal categories), Continuous lattices and posets, applications, Quantales, FOS: Mathematics, Category Theory (math.CT), quantale-enriched categories

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Top 10%
Top 10%
Average
Green
hybrid