Indecomposable decomposition of the An quiver
*Nil Orhan ErtaşCorresponding authororhannil@yahoo.comDepartment of Mathematics Bursa Technical UniversityBursa, 16310, TurkeyView full profile → , Sena Yılmazy.sena9525@gmail.comDepartment of Mathematics Bursa Technical UniversityBursa, 16310, TurkeyView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 09 Apr 2025
- Published Online:
- 14 Jan 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2389
- Pages:
- 181–191
Abstract
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References
[1] H. Derksen and J. Weyman, “Quiver representations,” Notices of the American Mathematical Society, vol. 52, no. 2, pp. 200–206 (2005).
[2] Ibrahim Assem, Daniel Simson, and Andrzej Skowroński, Elements of the Representation Theory of Associative Algebras, Volume 1: Techniques of Representation Theory, London Mathematical Society Student Texts, vol. 65. Cambridge, U.K.: Cambridge University Press (2006).
[3] Maurice Auslander, “Representation theory of Artin algebras II,” Communications in Algebra, vol. 1, pp. 269–310 (1974).
[4] Maurice Auslander and Idun Reiten, “Representation theory of Artin algebras III: Almost split sequences,” Communications in Algebra, vol. 3, pp. 239–294 (1975).
[5] Maurice Auslander and Idun Reiten, “Representation theory of Artin algebras IV: Invariants given by almost split sequences,” Communications in Algebra, vol. 5, pp. 443–518 (1977).
[6] Maurice Auslander and Idun Reiten, “Representation theory of Artin algebras V: Methods for computing almost split sequences and irreducible morphisms,” Communications in Algebra, vol. 5, pp. 519–554 (1977).
[7] Maurice Auslander and Idun Reiten, “Representation theory of Artin algebras VI: A functorial approach to almost split sequences,” Communications in Algebra, vol. 6, pp. 257–300 (1978).
[8] Maurice Auslander, Idun Reiten, and Sverre O. Smalø, Representation Theory of Artin Algebras, Cambridge Studies in Advanced Mathematics. Cambridge, U.K.: Cambridge University Press (1997).
[9] Michael Barot, Introduction to the Representation Theory of Algebras. Cham, Switzerland: Springer International Publishing (2015).
[10] Pavel Etingof, Introduction to Representation Theory. Providence, RI, USA: American Mathematical Society (2011).
[11] Claus Michael Ringel, “Introduction to the representation theory of finite-dimensional algebras,” in Proc. 3rd Workshop on Rings, Modules and Algebras (2014). [Online]. Available: https://www.math.uni-bielefeld.de/~ringel/lectures/izmir/Welcome.html
[12] Ralf Schiffler, Quiver Representations. Cham, Switzerland: Springer International Publishing, 2014. vol. 428, pp. 919–929 (2008).
