 Auslander–Reiten theory

Auslander–Reiten theory is a branch of representation theory in mathematics, particularly within the field of algebra and category theory. It is named after the mathematicians Maurice Auslander and Idun Reiten, who made significant contributions to the understanding of module theory and the representation theory of algebras. At its core, Auslander–Reiten theory deals with the study of certain special kinds of categories called abelian categories, particularly the category of modules over a fixed ring.