📁Homological algebra, representation theory of algebras

The lattice of ring epimorphisms

Supervisor: Lidia Angeleri Hügel

Description

A ring epimorphism is by definition an epimorphism in the category of rings. Basic examples include classical localization in commutative algebra, but also the more general concept of universal localization. The ring epimorphisms starting in a fixed ring \(A\) form a complete lattice which encodes important information on the category of modules over \(A\) and which is studied with a variety of tools, including homological and geometric methods and techniques from model theory.