Quantale Modules and their Operators, with Applications

Details Quantale Modules and their Operators, with Applications Quantale Modules and their Operators, with Applications

2010-02-04

arxiv.org/abs/1002.0968v1

J Logic Computation (2010), 20(4): 917-946

Mathematics

Logic

Scientific paper

10.1093/logcom/exn088

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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