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- W2803121414 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." @default.
- W2803121414 created "2018-06-01" @default.
- W2803121414 creator A5078489549 @default.
- W2803121414 date "2018-05-21" @default.
- W2803121414 modified "2023-09-23" @default.
- W2803121414 title "On an upper bound for the global dimension of Auslander--Dlab--Ringel algebras" @default.
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- W2803121414 doi "https://doi.org/10.48550/arxiv.1805.08085" @default.
- W2803121414 hasPublicationYear "2018" @default.
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