Unfoldings and APR-Tilts Original Research Article

Let A be a finite dimensional associative algebra with an identity over an algebraically closed field. Assume moreover that A is basic, connected, and that the ordinary quiver of A has no oriented cycles. We describe an algorithm which yields an effective criterion for deciding whether or not A is iterated tilted of Dynkin or euclidean type, or tilting-cotilting equivalent to a tubular canonical algebra.