Auslander Reiten Quiver of Nakayama Algebra type Dynkin Graph An
Faisal, Irawati & Intan Muchtadi-Alamsyah
Algebra Research Group Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10 Bandung 40132, Indonesia Email: ntan@math.itb.ac.id
Abstract. 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.
Keywords: AR-quiver; Nakayama algebra; quiver; Dynkin type A.
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