A characterization of right 4-Nakayama artin algebras

Abstract

In this paper, we study the category of finitely generated modules over a class of right 4-Nakayama artin algebras. This class of algebras appear naturally in the study of representation-finite artin algebras. First, we give a characterization of right 4-Nakayama artin algebras. Then, we classify finitely generated indecomposable right modules over right 4-Nakayama artin algebras. We also compute almost split sequences for the class of right 4-Nakayama artin algebras. © 2021 World Scientific Publishing Company.