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arXiv · 1812.07392

A characterization of right 4-Nakayama artin algebras

Alireza Nasr-Isfahani·Mohsen Shekari
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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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Alireza Nasr-Isfahani, Mohsen Shekari. 2018-12-16. A characterization of right 4-Nakayama artin algebras. https://arxiv.org/abs/1812.07392

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