Two-term relative cluster tilting subcategories, \(\tau\)-tilting modules and silting subcategories

DOI10.1016/J.JPAA.2020.106365zbMath1452.18019arXiv1811.12588OpenAlexW3010525145WikidataQ112882075 ScholiaQ112882075MaRDI QIDQ2173861

Bin Zhu, Panyue Zhou

Publication date: 17 April 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.12588

zbMATH Keywords

silting subcategories\(\tau\)-rigid subcategoriessupport \(\tau\)-tilting subcategoriestwo-term (weak) \(\mathcal{R} [1\)-cluster tilting subcategories]two-term \(\mathcal{R} [1\)-rigid subcategories]

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Derived categories, triangulated categories (18G80)

Related Items (4)

Relative rigid subcategories and \(\tau\)-tilting theory ⋮ Lifting to two-term relative maximal rigid subcategories in triangulated categories ⋮ 𝜏-tilting theory in abelian categories ⋮ Support \(\tau_n\)-tilting pairs

Cites Work

• Maximal rigid subcategories in 2-Calabi-Yau triangulated categories.
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• On support \(\tau\)-tilting modules over endomorphism algebras of rigid objects
• Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
• Relative rigid objects in triangulated categories
• Triangulated categories with cluster tilting subcategories
• From triangulated categories to abelian categories: cluster tilting in a general framework
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• Tilting theory and cluster combinatorics.
• Triangulated Categories
• Silting mutation in triangulated categories
• On the relation between maximal rigid objects and τ-tilting modules
• Relative cluster tilting objects in triangulated categories
• Representation Theory of Artin Algebras I
• -tilting theory

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