arXiv:1805.08085 Abstract | arXiv Analytics

arXiv:1805.08085 [math.RT]Abstract References Reviews Resources

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

Published 2018-05-21Version 1

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.

Comments: 10 pages

Categories: math.RT

Subjects: 16G10, 16E10

Keywords: global dimension, auslander-dlab-ringel algebras, original adr algebras, better upper bound, semilocal modules

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