DOI Number : 10.5614/j.math.fund.sci.2013.45.1.1
Hits : 13

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.

Download Article
 
Bahasa Indonesia | English
 
 
 

Notification:

Begin on 10 October 2014 this website is no longer activated for article process in Journal of Mathematical and Fundamental Sciences, Journal of Engineering and Technological Sciences, Journal of ICT Research and Applications and Journal of Visual Art and Design. The next process will be proceeded under new website at http://journals.itb.ac.id.

For detail information please contact us to: journal@lppm.itb.ac.id.

 
       
       
       ITB Journal Visitor Number #9594012       
       Jl. Tamansari 64, Bandung 40116, Indonesia Visitor IP Address #       
       Tel : +62-22-250 1759 ext. 121 2011 Institut Teknologi Bandung       
       Fax : +62-22-250 4010, +62-22-251 1215 XHTML + CSS + RSS       
       E-mail : journal@lppm.itb.ac.id or proceedings@lppm.itb.ac.id Developed by AVE