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arXiv · 1910.04633

On the classification of higher Auslander algebras for Nakayama algebras

Dag Oskar Madsen·Rene Marczinzik·Gjergji Zaimi
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Abstract

We give new improved bounds for the dominant dimension of Nakayama algebras and use those bounds to give a classification of Nakayama algebras with $n$ simple modules that are higher Auslander algebras with global dimension at least $n$. The classification is then used to extend the results on the inequality for the global dimension of Nakayama algebras obtained in \cite{MM}.

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BibTeXRIS

Dag Oskar Madsen, Rene Marczinzik, Gjergji Zaimi. 2019-10-10. On the classification of higher Auslander algebras for Nakayama algebras. https://arxiv.org/abs/1910.04633

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