Quantale Modules, with Applications to Logic and Image Processing
Ciro Russo

TL;DR
This paper explores the algebraic structure of quantale modules and applies these concepts to logic and image processing, offering new theoretical insights and practical applications.
Contribution
It introduces a categorical and algebraic framework for quantale modules and demonstrates their use in logic and image processing tasks.
Findings
Developed a new algebraic framework for quantale modules
Applied the framework to abstract algebraic logic
Implemented applications in image processing
Abstract
We propose a categorical and algebraic study of quantale modules. The results and constructions presented are also applied to abstract algebraic logic and to image processing tasks.
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