Quantale Modules and their Operators, with Applications

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.

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Ciro Russo
• Keywords: Central Topic, CORR 2010, Education, Main Categorical Properties, Unital Quantales