On an upper bound for the global dimension of Auslander--Dlab--Ringel algebras
Representation Theory
2019-03-12 v2
Abstract
Lin and Xi introduced Auslander--Dlab--Ringel (ADR) algebras of seimlocal modules as a generalization of original ADR algebras and showed that they are quasi-hereditary. In this paper, we prove that such algebras are always left-strongly quasi-hereditary. As an application, we give a better upper bound for global dimension of ADR algebras of semilocal modules. Moreover we describe characterizations of original ADR algebras to be strongly quasi-hereditary.
Keywords
Cite
@article{arxiv.1805.08085,
title = {On an upper bound for the global dimension of Auslander--Dlab--Ringel algebras},
author = {Mayu Tsukamoto},
journal= {arXiv preprint arXiv:1805.08085},
year = {2019}
}
Comments
10 pages, changed title, minor changes, accepted for publication in Arch. Math. (Basel)