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• W3126412856 abstract "We classify $n$-hereditary monomial algebras in three natural contexts: First, we give a classification of the $n$-hereditary truncated path algebras. We show that they are exactly the $n$-representation-finite Nakayama algebras classified by Vaso. Next, we classify partially the $n$-hereditary quadratic monomial algebras. In the case $n=2$, we prove that there are only two examples, provided that the preprojective algebra is a planar quiver with potential. The first one is a Nakayama algebra and the second one is obtained by mutating $mathbb A_3otimes_k mathbb A_3$, where $mathbb A_3$ is the Dynkin quiver of type $A$ with bipartite orientation. In the case $ngeq 3$, we show that the only $n$-representation finite algebras are the $n$-representation-finite Nakayama algebras with quadratic relations." @default.
• W3126412856 created "2021-02-15" @default.
• W3126412856 creator A5010573466 @default.
• W3126412856 creator A5065058983 @default.
• W3126412856 date "2021-01-29" @default.
• W3126412856 modified "2023-09-27" @default.
• W3126412856 title "Classification results for $n$-hereditary monomial algebras" @default.
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• W3126412856 hasPublicationYear "2021" @default.
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