The dual of the homotopy category of projective modules satisfies Brown representability

TL;DR

This paper proves that the dual of the homotopy category of projective modules over any ring satisfies Brown's representability theorem, expanding understanding of triangulated categories in algebra.

Contribution

It establishes that the dual of the homotopy category of projective modules universally satisfies Brown representability, a significant property in triangulated category theory.

Findings

Dual of the homotopy category satisfies Brown representability

Applicable to arbitrary rings

Enhances understanding of triangulated categories

Abstract

We show that the dual of the homotopy category of projective modules over an arbitrary ring satisfies Brown representability.