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Auslander Reiten Quiver of Nakayama Algebra type Dynkin Graph An
Author(s) -
Faisal Faisal,
Irawati Irawati,
Intan Muchtadi-Alamsyah
Publication year - 2013
Publication title -
journal of mathematical and fundamental sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.216
H-Index - 12
eISSN - 2337-5760
pISSN - 2338-5510
DOI - 10.5614/j.math.fund.sci.2013.45.1.1
Subject(s) - quiver , mathematics , indecomposable module , pure mathematics , isomorphism (crystallography) , algebra over a field , graph algebra , type (biology) , graph , discrete mathematics , voltage graph , chemistry , line graph , ecology , crystal structure , biology , crystallography
In this paper we will determine Auslander Reiten quiver of Nakayama algebra with quiver type Dynkin graph A n 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.

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