BARISAN AUSLANDER-REITEN

IKA METIZA MARIS

Abstract


This paper introduces Auslander-Reiten Sequences in mod A, where A is a finite dimensional -algebra. We will also introduces almost split morphism, as a special form of morphisms, which will provide a natural way to present the form of Auslander-Reiten sequences. These sequences are particulary useful in representation theory of algebras.

Key words: almost split morphisms, , irreducible morphisms, almost split sequences 


References


Assem I. Simon D, Skowronski A. 2005. Elements of the Representation Theory of Associative Algebras, London Math.Soc. Students Text 65, Cambridge University Press.

Auslander M, Reiten I. Representation theory of Artin Algebras III. 1975. Comm. Algebra, 3: 269-310

Auslander M. dan Reiten I. 1977. Representation theory of Artin Algebras IV: Invariant given by Almost Split Sequences. Comm. Algebra, 5: 443-518.

Auslander M. Reinten I, Smaloe S. 1995. Representation Theory of Artin Algebras, Cambridge Studies in Advanced Mathematics 36, Cambridge University Press, Cambridge, New York.




DOI: http://dx.doi.org/10.31958/js.v2i2.26

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Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.