Viewing Morphisms Between Pattern Structures via Their Concept Lattices and via Their Representations

摘要

In continuation of [13], we investigate pattern structures and their morphisms aiming to provide a theoretical background for complexity reduction. Our results follow a top-down strategy starting with a general setup of poset adjunctions; then we specify the situation for pattern structures and their representations. In particular, we discuss the situation where morphisms between pattern structures induce morphisms between their representations. Morphisms between adjunctions turn out to be of crucial interest for a better understanding of morphisms between concept lattices of pattern structures.