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Quantale Modules and their Operators, with Applications
Published 4 Feb 2010 in math.LO, cs.IT, and math.IT | (1002.0968v1)
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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