Cotilting duality for Artinian rings
Rings and Algebras
2025-03-03 v1
Abstract
A classical result due to Morita and Azumaya establishes that given two arbitrary rings, any duality between their finitely generated modules is representable by a faithfully balanced bimodule which is a finitely generated injective cogenerator of both rings and, equivalently, these latter are one-sided artinian. We extend this well-known result to the case of a cotilting bimodule, by analysing the duality it represents in the bounded derived categories of the given rings.
Keywords
Cite
@article{arxiv.2502.20901,
title = {Cotilting duality for Artinian rings},
author = {Francesca Mantese and Lorenzo Martini},
journal= {arXiv preprint arXiv:2502.20901},
year = {2025}
}