$\Delta$-filtrations and projective resolutions for the Auslander-Dlab-Ringel algebra
Representation Theory
2020-05-11 v2
Abstract
The ADR algebra of an Artin algebra is a right ultra strongly quasihereditary algebra (RUSQ algebra). In this paper we study the -filtrations of modules over RUSQ algebras and determine the projective covers of a certain class of -modules. As an application, we give a counterexample to a claim by Auslander-Platzeck-Todorov, concerning projective resolutions over the ADR algebra.
Keywords
Cite
@article{arxiv.1703.03482,
title = {$\Delta$-filtrations and projective resolutions for the Auslander-Dlab-Ringel algebra},
author = {Teresa Conde},
journal= {arXiv preprint arXiv:1703.03482},
year = {2020}
}
Comments
20 pages. Some small changes were done and typos were corrected. Accepted for publication in Algebras and Representation Theory