  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.

Representation Theory