We introduce the class of generalized double tilted artin algebras and prove that it coincides with the class of artin algebras whose -quiver admits a faithful generalized standard almost directed component. A homological characterization of faithful generalized standard almost directed components is also established.
Idun REITEN. Andrzej SKOWROŃSKI. "Generalized double tilted algebras." J. Math. Soc. Japan 56 (1) 269 - 288, January, 2004. https://doi.org/10.2969/jmsj/1191418706