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Intan Muchtadi-Alamsyah
Algebra Research Group Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung,
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Auslander Reiten Quiver of Nakayama Algebra type Dynkin Graph An Faisal Anwar; I. Irawati; Intan Muchtadi-Alamsyah
Journal of Mathematical and Fundamental Sciences Vol. 45 No. 1 (2013)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2013.45.1.1

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.
Co-Authors Faisal Anwar I. Irawati