Auslander Reiten Quiver of Nakayama Algebra type Dynkin Graph An

Faisal Anwar (Algebra Research Group Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung,)
I. Irawati (Algebra Research Group Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung,)
Intan Muchtadi-Alamsyah (Algebra Research Group Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung,)

Journal of Mathematical and Fundamental Sciences
Vol. 45 No. 1 (2013)

In this paper we will determine Auslander Reiten quiver of Nakayama algebra with quiver type Dynkin graph An for all natural number n ≥ 2. The AR-quiver is a visualization of module category of finite dimensional algebras. From the AR-quiver of an algebra A we may know all the isomorphism classes of indecomposable modules in mod A and the homomorphism between them. Once we get the general shape of the AR-quiver of this algebra, we will use it to compute a tilting module of this algebra.