Rigid subcategories and related subcategories in extriangulated categories

DOI10.1080/00927872.2023.2217447zbMath1524.18015OpenAlexW4380488843MaRDI QIDQ6094263

Zhen Zhang, Shance Wang

Publication date: 10 October 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2023.2217447

zbMATH Keywords

cluster tilting subcategoryrigid subcategoryextriangulated categorystrongly functorially finite subcategory

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Representations of associative Artinian rings (16G10) Preadditive, additive categories (18E05)

Cites Work

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• Cluster tilting for higher Auslander algebras.
• Triangulated quotient categories revisited
• Phantom ideals and cotorsion pairs in extriangulated categories
• Tilting subcategories in extriangulated categories
• Cluster subalgebras and cotorsion pairs in Frobenius extriangulated categories
• Maximal \(\tau_d\)-rigid pairs
• Hearts of twin cotorsion pairs on extriangulated categories
• From triangulated categories to abelian categories: cluster tilting in a general framework

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