Tilting modules arising from ring epimorphisms

TL;DR

This paper explores a specific class of tilting modules derived from ring epimorphisms, especially through universal localization, providing classification results for certain rings.

Contribution

It introduces a new approach to classify tilting modules using ring epimorphisms and universal localization techniques.

Findings

Classification of tilting modules for certain rings

Connection between ring epimorphisms and tilting theory

Application of Schofield's universal localization

Abstract

Given a ring R, we investigate tilting modules of the form S \oplus S/R for some injective ring epimorphism R \to S. In particular, we are interested in tilting modules arising from Schofield's universal localization. For some rings, in this way one obtains a classification of all tilting modules.