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arXiv · 1805.08085

On an upper bound for the global dimension of Auslander--Dlab--Ringel algebras

Mayu Tsukamoto
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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.

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BibTeXRIS

Mayu Tsukamoto. 2018-05-21. On an upper bound for the global dimension of Auslander--Dlab--Ringel algebras. https://arxiv.org/abs/1805.08085

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