The regular components of the Auslander-Reiten quiver of a tilted algebra (Q1117306)

The paper contains two main results. The first one states that any connected finite dimensional algebra B (over a field) of infinite representation type has a regular tilting module if and only if B is wild and has at least three simple modules. The second result asserts that for a tilted algebra A, any regular component of the Auslander-Reiten quiver \(\Gamma\) (A) of A which is not a connecting component, is quasi-serial.