Support $\tau $-tilting modules under split-by-nilpotent extensions

DOI10.4064/cm7774-3-2019zbMath1459.16011arXiv2004.14141OpenAlexW3005450933MaRDI QIDQ5126645

Hanpeng Gao, Zhao Yong Huang

Publication date: 20 October 2020

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

Full work available at URL: https://arxiv.org/abs/2004.14141

zbMATH Keywords

split-by-nilpotent extensionssupport \(\tau\)-tilting modulesHasse quiversclustertilted algebrasleft mutations

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20)

Related Items (4)

Tilting pair over split-by-nilpotent extensions ⋮ Semibricks over split-by-nilpotent extensions ⋮ Recollements of extriangulated categories ⋮ Support $\tau $-tilting modules and recollements

Cites Work

• Unnamed Item
• Induced and coinduced modules over cluster-tilted algebras
• On a partial order of tilting modules.
• \(\tau\)-tilting modules over one-point extensions by a projective module
• Projective dimensions and extensions of modules from tilted to cluster-tilted algebras
• Tilting theory and cluster combinatorics.
• Cluster-tilted algebras
• On the relation between maximal rigid objects and τ-tilting modules
• Full embeddings of almost split sequences over split-by-nilpotent extensions
• Tilting modules over split-by-nilpotent extensions
• On split-by-nilpotent extensions
• -tilting theory
• Extending Tilting Modules to One-Point Extensions by Projectives
• Cluster-tilted algebras as trivial extensions

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