categorical algebra

Categorical algebra is a branch of mathematics that studies structures and their relationships using the language of categories. A category consists of objects (like sets or spaces) and morphisms (like functions or maps) that connect them, following specific rules. This framework helps mathematicians understand and compare different systems abstractly, focusing on how they relate through these mappings rather than their internal details. It provides a unifying language for various areas in math, enabling elegant way to analyze and transfer ideas across different fields.