👉 Functors are mathematical objects that map between different categories. They are fundamental in mathematics and computer science, particularly in the study of modules over rings, groups, and other algebraic structures. Functors have a number of important properties, such as preserving composition and associativity, being inverse to each other (for instance, identity morphisms), and being cocontinuous. Functors can be represented by arrows between categories. For example, a functor from the category of sets to another category is defined by taking
