Cotilting invariance of the Auslander-Reiten conjecture
Representation Theory
2025-07-29 v1
Abstract
Let R be an associative ring with identity, and let T be a tilting right R-module, with S=End(T). It is known that if R is a Noetherian algebra that satisfies the Auslander-Reiten conjecture, then so is S. In this paper, we consider the dual situation where C is a cotilting right R-module, with S=End(C). We investigate the invariance of the property of satisfying the Auslander-Reiten conjecture when passing from R to S.
Keywords
Cite
@article{arxiv.2507.20458,
title = {Cotilting invariance of the Auslander-Reiten conjecture},
author = {Kamran Divaani-Aazar and Ali Mahin Fallah and Massoud Tousi},
journal= {arXiv preprint arXiv:2507.20458},
year = {2025}
}
Comments
15 pages