Quantale Modules, with Applications to Logic and Image Processing

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.