adjunctions

Adjunctions are a concept in mathematics that describe a special relationship between two structures or processes. Think of them as a natural pairing where one process can be reversed or transformed into the other without losing essential information. They often appear in contexts like algebra or computer science, helping us understand how two different systems relate or translate into each other smoothly. Essentially, an adjunction provides a way to move back and forth between two concepts with a deep, inherent connection, maintaining their core relationships intact.