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arXiv · 1002.0968

Quantale Modules and their Operators, with Applications

Ciro Russo
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Abstract

The central topic of this work is the categories of modules over unital quantales. The main categorical properties are established and a special class of operators, called Q-module transforms, is defined. Such operators - that turn out to be precisely the homomorphisms between free objects in those categories - find concrete applications in two different branches of image processing, namely fuzzy image compression and mathematical morphology.

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BibTeXRIS

Ciro Russo. 2010-02-04. Quantale Modules and their Operators, with Applications. https://doi.org/10.1093/logcom/exn088

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