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arXiv · 2101.09632

Three Results Concerning Auslander Algebras

Stephen Zito
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Abstract

Our first result provides a new characterization of Auslander algebras using a property of hereditary torsion pairs. The second result shows an Auslander algebra $\Lambda$ is left or right glued if and only if $\Lambda$ is representation-finite. Finally, our third result shows the module category of any Auslander algebra contains a tilting module with a particular property, which we call the hereditary property. Applications of this property are investigated.

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Stephen Zito. 2021-01-24. Three Results Concerning Auslander Algebras. https://doi.org/10.1080/00927872.2021.1937640

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