A characterization of right 4-Nakayama artin algebras

2018/12/16 by Nasr-Isfahani, Alireza, Shekari, Mohsen
#16G20 #16G60 #16G70 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1812.07392

Abstract

We characterize right 4-Nakayama artin algebras which appear naturally in the study of representation-finite artin algebras. For a right 4-Nakayama artin algebra Λ, we classify all finitely generated indecomposable right Λ-modules and then we compute all almost split sequences over Λ. We also give a characterization of right 4-Nakayama finite dimensional K-algebras in terms of their quivers with relations.

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