$(m,n)$-Quasitilted and $(m,n)$-almost hereditary algebras

DOI10.4064/cm7913-12-2019zbMath1480.16027arXiv1709.07086OpenAlexW3047521543MaRDI QIDQ5146413

Patrick Le Meur, Diane Castonguay, Tanise Carinieri Pierin, Edson Ribeiro Alvares

Publication date: 25 January 2021

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.07086

zbMATH Keywords

tiltingrepresentation theoryone-point extensionAuslander-Reiten quiverfinite-dimensional algebrapiecewise hereditary algebrastrong global dimensionquasitilted algebra\((m,n)\)-almost hereditary algebra\((m,n)\)-quasitilted algebraleft partright part

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Cites Work

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• On splitting torsion theories induced by tilting modules
• Tilting in abelian categories and quasitilted algebras
• Laura Skew Group Algebras
• Global dimensions for endomorphism algebras of tilting modules

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