arXiv subjects

Mohsen Shekari

Publications and source records attributed to Mohsen Shekari.

3 recordsLinked to original sources

arXiv2020

Right n-Nakayama algebras and their representations

In this paper we study right $n$-Nakayama algebras. Right $n$-Nakayama algebras appear naturally in the study of representation-finite algebras. We show that an artin algebra $Λ$ is representation-finite if and only if $Λ$ is right $n$-Nakayama for some positive integer $n$. We classify hereditary right $n$-Nakayama algebras. We also define right $n$-coNakayama algebras and show that an artin algebra $Λ$ is right $n$-coNakayama if and only if $Λ$ is left $n$-Nakayama. We then study right $2$-Nakayama algebras. We show how to compute all the indecomposable modules and almost split sequences over a right $2$-Nakayama algebra. We end by classifying finite dimensional right $2$-Nakayama algebras in terms of their quivers with relations.

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arXiv2018

A characterization of right 4-Nakayama artin algebras

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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arXiv2018

Representations of right 3-Nakayama algebras

In this paper we study the category of finitely generated modules over a right $3$-Nakayama artin algebra. First we give a characterization of right $3$-Nakayama artin algebras and then we give a complete list of non-isomorphic finitely generated indecomposable modules over any right $3$-Nakayama artin algebra. Also we compute all almost split sequences for the class of right $3$-Nakayama artin algebras. Finally, we classify finite dimensional right $3$-Nakayama algebras in terms of their quivers with relations.

math.RT↗