The dual quiver of the Auslander-Reiten quiver of path algebras.

DOI10.1007/s10468-010-9237-3zbMath1252.16015OpenAlexW2060229505MaRDI QIDQ453555

Mian-Mian Zhang

Publication date: 27 September 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-010-9237-3

zbMATH Keywords

crossed productsHopf algebraspath algebrasAuslander-Reiten quiverssmash productsdual quivers

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Twisted and skew group rings, crossed products (16S35) Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05)

Related Items (2)

On duality preservability of Auslander-Reiten quivers of derived categories and cluster categorie ⋮ The duality of Auslander-Reiten quiver of path algebras

Cites Work

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• On the structure of tame graded basic Hopf algebras.
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• QUIVER REPRESENTATIONS RESPECTING A QUIVER AUTOMORPHISM: A GENERALISATION OF A THEOREM OF KAC
• A NOTE ON THE GLOBAL DIMENSION OF SMASH PRODUCTS

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